If the ratio of the radius of a small circle to the radius of a larger circle is 1 : 2 respectively and the circumference of the smaller circle is equal to the perimeter of a square having a side 11 cm, find the area of the larger circle.

The base of a triangle is 32 cm and the area is 280 cm². The breadth of a rectangle is 20% more than the height of a triangle while the length is 87.5% of the base of a triangle. Find the area of the rectangle (in cm²).

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

A wire encloses in an area of 18634 cm² when it is bent in the form of a circle. The same wire is now bent to form a rectangle whose sides are in the ratio 5 : 6. The length (in cm) off the smaller side of the rectangle is (Take π = 22/7):

A copper wire is bent to form a rectangle of length 12 cm and breadth 10 cm. If the copper wire is rebent to form a semicircle, then its radius will be?

The length of a rectangular plot is thrice its breadth. If the length of its diagonal is \(18 \sqrt{10}\) cm, then the perimeter of the rectangle is:

If the area of a square is decreased by 19%, then the diagonal of the square is decreased by:

The inner and outer radii of a circular track are 28 m and 25 m, respectively. The cost (in ₹) of levelling the track at ₹28 per m² is: [ Use π = \(22\over7\) ]

In a circle, an arc subtends an angle of 84° at the center. If the length of the arc is 22 cm, then the radius of the circle (in cm) is equal to:

Take \(\pi=\frac{22}{7}\)

If the length of the diagonal of the square is {4 × (20% of 345)} cm then find the perimeter of the square.

The base of a triangle is 32 cm and the area is 280 cm². The breadth of a rectangle is 20% more than the height of a triangle while the length is 87.5% of the base of a triangle. Find the area of the rectangle (in cm²).

Find the area of the circle whose circumference is equal to the perimeter of a square of side 24 cm.

If the length and the breadth of the rectangle are in the ratio 4 : 7 and the perimeter of the rectangle is 946 m. Find the area of the rectangle.

The breadth of a rectangular plot is 40% more than its length. If the difference between the breadth and the length of that rectangle is 18 cm, what is the area of that rectangle?

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:

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.

A circle and a semicircle have equal radius i.e. 6 cm. Find the sum of the circumference of the circle and semicircle (in cm).

The area of a triangle is half the area of a square. The perimeter of the square is 172 cm. What is the area of the triangle (in cm²)?

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

Area of a rectangular field, whose length and breadth are in the ratio 5 : 4, is 1937.504 sq ft. If the field has to be fenced on three sides leaving one smaller side, then what is the total length of the fencing required? (Take approximate values if needed)

A rectangle with a side length of 28 cm and width 45 cm is inscribed inside a larger circle. Calculate the area outside the rectangle but inside the circle. (Take π = 3.14)

The area of the circle is 2464 m² and the square is marked outside the circle by touching the circumference of the circle. Find the area of the square and the circumference of the circle.

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.

The area of the square is 4/5th of the area of a rectangle. If the sides of the rectangle are 18 cm and 24 cm, then what is the area of the square?

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.

A circle and a semicircle have equal radius i.e. 6 cm. Find the sum of the circumference of the circle and semicircle (in cm).

Area of the equilateral triangle is 49√3 m² and the length of the rectangle is 6 m more than the side of the equilateral triangle. If the breadth of the rectangle is 25 m, then find the area of the rectangle.

If the side of a square is (x + 3) meter and the perimeter is (5x + 5) meter, then find the area of the square.

If the breadth of the rectangle is one-fourth of the side of the square and the length of the rectangle is equal to the radius of the circle whose circumference is 308 cm. If the perimeter of the square is 144 cm. Then find the area of the rectangle.

The diameter of a semicircle is 5.6 m. What is its perimeter (in m, correct to one decimal place)? (Take \(\pi =\frac{22}{7}\).)

If the radius of the circle is 42 cm, the angle formed at the center by an arc is 150°. What is the length of the corresponding arc?

From a 24 cm × 12 cm plywood board, an E-shaped block is cut out, as shown in the figure. What is the area of the face of the remaining board?

The area of a sector of a circle is 110 cm² and the central angle of the sector is 56°, what is the radius of the circle? (Take π = 22/7)

The area of a sector of a circle having a radius of 14 cm is 231 cm². Find the degree measure of the corresponding central angle.
(Use π = 22/7 )

The area of the square is 4/5th of the area of a rectangle. If the sides of the rectangle are 18 cm and 24 cm, then what is the area of the square?

If the sides of the rectangular box are increased by 6.25%, then find the ratio of the old area to the new area of the rectangular box.

The perimeter of the rectangle is 70 cm, with length and breadth in a ratio 5 : 2 respectively. If the area of the rectangle is equal to the perimeter of the square, then find the side of the square.

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

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.

A rectangular carpet has a perimeter of 38 metres and the difference between its length and breadth is 12m. The length of its diagonal (in meters) is:

If the height and the base of the right angle triangle increased by 10% and 20% respectively then the area of the newly formed triangle becomes 396 units. Find the area of the original triangle.

From a 24 cm × 12 cm plywood board, an E-shaped block is cut out, as shown in the figure. What is the area of the face of the remaining board?

The radii of the two concentric circles are 27 cm and 18 cm. The area (in cm²) of the closed figure bounded by the boundaries of the circle is:

The semicircle of area 1250π cm is inscribed inside a rectangle. The diameter of the semicircle coincides with the length of the rectangle. The area of the rectangle is:

If the breadth of the rectangle is one-fourth of the side of the square and the length of the rectangle is equal to the radius of the circle whose circumference is 308 cm. If the perimeter of the square is 144 cm. Then find the area of the rectangle.

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

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 = \({{22} \over 7}\)).

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)

A buffalo is placed for grazing inside a rectangular field measuring 24 m and 46 m. It is tethered to one corner by a rope 15 meters long. How much area is left ungrazed?

If the breadth of the rectangle is one-fourth of the side of the square and the length of the rectangle is equal to the radius of the circle whose circumference is 308 cm. If the perimeter of the square is 144 cm. Then find the area of the rectangle.