Cluster · Mensuration of Quadrilaterals and Circles
| Question | Category | Subtype | Difficulty | |
|---|---|---|---|---|
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What is the length of the arc of a circle whose radius is 35 cm and whose arc subtends an angle of 72° at the centre of the circle? pipeline-665979
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quant | — | intermediate | |
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A rectangular park is 120 m long and 104 m wide. A 1-m wide path runs along the boundary of the park, remaining completely inside the park area. Thus, the outside edges of the path run along the boundary wall of the park. The inside edges of the path are marked with a white line of negligible thickness. If it costs ₹2.50 to mark each metre with the white line, then how much would it cost (in ₹) to fully mark the inside edges of the path? pipeline-443641
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quant | — | intermediate | |
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What is the perimeter of a square inscribed in a circle of radius 5 cm? pipeline-462674
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quant | — | intermediate | |
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Find the area of a minor sector of a circle whose circumference is 88 cm and the length of its minor arc is 22 cm (use π = 22/7) pipeline-666015
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quant | — | intermediate | |
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What will be the cost of levelling a circular ground of diameter 28 m, if the charges are Rs. 125/m2? pipeline-33739
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quant | — | intermediate | |
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The perimeter of a rectangle is 28 cm. If the length is 5/2 times its breadth, find the length and breadth of the rectangle (in cm). pipeline-14637
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quant | — | intermediate | |
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If the circumference of a circle is 22 cm, find the area of the semicircle. pipeline-21855
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quant | — | intermediate | |
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Ramu bought a new plot which need to be fenced immediately, due to this the length and the breadth of the rectangular working place is reduced by 18% respectively. Find the % decrease in the area. pipeline-533489
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quant | — | intermediate | |
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What is the length of the diagonal, if the area of a rectangle is 168 cm2 and the breadth is 7 cm? pipeline-16268
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quant | — | intermediate | |
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The area of a circle is 616 sq.m. Find its diameter. (π = 22/7) pipeline-18356
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quant | — | intermediate | |
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Louis bought a new plot which need to be fenced immediately. Due to this, the length as well as the breadth of the rectangular decreases by 7%. Find the change in area. pipeline-547791
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quant | — | intermediate | |
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Find the circumference of a circle whose area is 154 m2. pipeline-669059
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quant | — | intermediate | |
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In the given figure, a square ABCD is inscribed in a quadrant ACPQ. If the AB = 16 cm, find the area of the shaded region (take π =3.14) correct to two places of decimal.
pipeline-388079
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quant | — | intermediate | |
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The area of a square is 144 cm2. What is the length of each of its diagonals? pipeline-348461
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quant | — | intermediate | |
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5 times of the perimeter of a square is 600 cm. What will be the area of this square? pipeline-348450
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quant | — | intermediate | |
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The perimeter of a rectangle is 22 cm and the length is 1 cm. What is the area of the rectangle? pipeline-623432
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quant | — | intermediate | |
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The length of a diagonal in cms of a rectangle of the length 5 cm and width 3 cm is: pipeline-33196
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quant | — | intermediate | |
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A path of 2.5 m in width surrounds a rectangular garden of length 10 m and breadth 8 m. Area of the garden, inclusive of the path is: pipeline-33735
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quant | — | intermediate | |
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The area of a rectangle is 42 sq. cm and its length is 7 cm. Find its perimeter. pipeline-22295
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quant | — | intermediate | |
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The area of a sector of a circle is 308 cm2, with the central angle measuring 45°. The radius of the circle is: pipeline-389171
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quant | — | intermediate | |
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A rectangular playground of length 125m and width 75 m, has a walking strip of width strip of width 3m in the middle of the ground, along the longer side. What is the area of the ground without the walking strip? pipeline-19005
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quant | — | intermediate | |
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The circumference of the two circles is 198 cm and 352 cm respectively. What is the difference between their radii? pipeline-387363
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quant | — | intermediate | |
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The length of a rectangle is 4 times of its breadth. If the area of the rectangle is 576 cm2, then what is the perimeter of this rectangle? pipeline-356290
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quant | — | intermediate | |
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A sector of a circle has a central angle of 45° and an arc length of 22 cm. Find the radius of the circle. ( Use π = \({{22} \over 7}\)). pipeline-569417
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quant | — | intermediate | |
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The area of a square is 1296 cm2 and the radius of a circle is \(\frac{7}{6}\) of the length of a side of the square. What is the ratio of the perimeter of the square and the circumference of the circle? [Use \(\pi=\frac{22}{7}\)] pipeline-370677
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quant | — | intermediate | |
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The ratio of the outer and the inner circumference of a circular path is 5 : 4. If the path is 50 meters wide, then what is the radius of the inner circle? pipeline-392296
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quant | — | intermediate | |
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If the adjacent sides of a rectangle, whose perimeter is 66 m, are in the ratio 5 : 6, then what will be the area of the rectangle? pipeline-359962
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quant | — | intermediate | |
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A square ground is to be covered by planting 100 saplings on each side. How many saplings are needed in all? pipeline-16957
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quant | — | intermediate | |
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The radius of a circle is 1.75 cm. What is the circumference of the circle? (\( \pi = {22 \over 7}\)) pipeline-573440
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quant | — | intermediate | |
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The ratio of the outer and the inner circumference of a circular path is 17 : 15, If the path is 40 metres wide, then what is the radius of the inner circle? pipeline-587845
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quant | — | intermediate | |
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If the area of a square is 529 cm2, then what is the length of its diagonal? pipeline-589268
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quant | — | intermediate | |
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The area of a circle is 2464 cm2. What is the diameter of this circle?[Use π = 22/7] pipeline-349408
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quant | — | intermediate | |
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The area of a circle is 15400 cm2 . What is the positive difference between the radius and the circumference of the circle? [Use π = 22/7] pipeline-357091
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quant | — | intermediate | |
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Half of the perimeter of a square is 50 cm. What is the length of each side of the square? pipeline-370472
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quant | — | intermediate | |
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What is the radius of a circular field whose area is equal to the sum of the areas of three smaller circular fields of radii 8 m, 9 m and 12 m, respectively? pipeline-360991
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quant | — | intermediate | |
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The diameter of a circle is 42 cm. What is the difference between the lengths of the circumference and the radius of the circle? [Use π = 22/7] pipeline-349267
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quant | — | intermediate | |
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The length of a rectangle is 5 times of its breadth. If the breadth is 10 cm, then what is the perimeter of the rectangle? pipeline-360821
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quant | — | intermediate | |
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In a circle of radius 42 cm, an arc subtends an angle of 60° at the center. Find the length of the arc. (Take \(\pi={{22} \over 7}\)) pipeline-577356
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quant | — | intermediate | |
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The sides of a rectangle are in the ratio of 3 : 8 and its area is 1944 cm2. What is its perimeter? pipeline-579348
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quant | — | intermediate | |
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The length and breadth of the floor of a rectangular hall are 126 feet and 90 feet, respectively. What will be the area (in square feet) of each of the largest identical square tiles that can be used to tile this floor in a way that no part of the floor remains uncovered? pipeline-581528
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quant | — | intermediate | |
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In a circle of radius, 14 cm. an arc subtends an angle of 90° at the center. The length of the arc (in cm) is equal to: (Take \(π= \frac {22}{7}\)) pipeline-574671
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quant | — | intermediate | |
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The area of a rectangular field is 480 m2. If the length is 20% more than the breadth, then the length of the rectangular field is pipeline-575757
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quant | — | intermediate | |
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The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 2700 m2, then what is the breadth of the rectangular plot? pipeline-465955
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quant | — | intermediate | |
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If the side of an equilateral triangle is increased by 34%, then by what percentage will its area increase? pipeline-537218
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quant | percentage | intermediate | |
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If a map of a city was drawn on a scale of 0.2 cm to a km, what area would represent a country if it has an area of 22500 km²? pipeline-606839
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quant | — | intermediate | |
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The width of a rectangle is 2 m less than its length. If the perimeter of the rectangle is 68 m, then what is the length (in metres) of the rectangle? pipeline-558813
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quant | — | intermediate | |
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The area of a sector is 1848 m2 and the central angle of the sector is 270°. Find the radius of the circle. (Take π = 22/7) pipeline-558641
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quant | — | intermediate | |
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Find the length of the arc of the sector of a circle of diameter 7 cm with a central angle of 108°. [Use π= 22/7] pipeline-558713
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quant | — | intermediate | |
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In the given figure, the length of arc AB is equal to 3 times radius r of the circle.
Find the area of sector OAB in terms of radius r. pipeline-546014
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quant | — | intermediate | |
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If the length of a rectangle is increased by 10% and the breadth of this rectangle is decreased by 15% then, find the ratio of the old area and the new area. pipeline-57412
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english | — | intermediate |

