Cluster · Mensuration of Quadrilaterals and Circles

d
Clusters / #1121
tight score 0.18

Rectangle Circle Area Perimeter Problems
Questions
361
Questions in this cluster
361 total
Question Category Subtype Difficulty

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
quant intermediate

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
quant intermediate

What is the perimeter of a square inscribed in a circle of radius 5 cm?

pipeline-462674
quant intermediate

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
quant intermediate

What will be the cost of levelling a circular ground of diameter 28 m, if the charges are Rs. 125/m2?

pipeline-33739
quant intermediate

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
quant intermediate

If the circumference of a circle is 22 cm, find the area of the semicircle.

pipeline-21855
quant intermediate

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
quant intermediate

What is the length of the diagonal, if the area of a rectangle is 168 cm2 and the breadth is 7 cm?

pipeline-16268
quant intermediate

The area of a circle is 616 sq.m. Find its diameter. (π = 22/7)

pipeline-18356
quant intermediate

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
quant intermediate

Find the circumference of a circle whose area is 154 m2.

pipeline-669059
quant intermediate

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
quant intermediate

The area of a square is 144 cm2. What is the length of each of its diagonals?

pipeline-348461
quant intermediate

 5 times of the perimeter of a square is 600 cm. What will be the area of this square?

pipeline-348450
quant intermediate

The perimeter of a rectangle is 22 cm and the length is 1 cm. What is the area of the rectangle?

pipeline-623432
quant intermediate

The length of a diagonal in cms of a rectangle of the length 5 cm and width 3 cm is:

pipeline-33196
quant intermediate

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
quant intermediate

The area of a rectangle is 42 sq. cm and its length is 7 cm. Find its perimeter.

pipeline-22295
quant intermediate

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
quant intermediate

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
quant intermediate

The circumference of the two circles is 198 cm and 352 cm respectively. What is the difference between their radii?

pipeline-387363
quant intermediate

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
quant intermediate

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
quant intermediate

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
quant intermediate

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
quant intermediate

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?

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quant intermediate

A square ground is to be covered by planting 100 saplings on each side. How many saplings are needed in all?

pipeline-16957
quant intermediate

The radius of a circle is 1.75 cm. What is the circumference of the circle?  (\( \pi = {22 \over 7}\))

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quant intermediate

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
quant intermediate

If the area of a square is 529 cm2, then what is the length of its diagonal?

pipeline-589268
quant intermediate

The area of a circle is 2464 cm2. What is the diameter of this circle?[Use π = 22/7]

pipeline-349408
quant intermediate

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
quant intermediate

Half of the perimeter of a square is 50 cm. What is the length of each side of the square?

pipeline-370472
quant intermediate

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
quant intermediate

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
quant intermediate

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
quant intermediate

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
quant intermediate

The sides of a rectangle are in the ratio of 3 : 8 and its area is 1944 cm2. What is its perimeter?

pipeline-579348
quant intermediate

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
quant intermediate

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
quant intermediate

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
quant intermediate

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
quant intermediate

If the side of an equilateral triangle is increased by 34%, then by what percentage will its area increase?

pipeline-537218
quant percentage intermediate

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
quant intermediate

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
quant intermediate

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
quant intermediate

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
quant intermediate

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
quant intermediate

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
english intermediate
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