A path is made around a circular pond. Find the area of this path if the area of the pond is 196π m² and the width of the path is 2 m.

Find the area of a square if the circumference of a semi-circle having radius 14 cm is equal to the perimeter of the square.

If the length and the breadth of the rectangle are in the ratio 4 : 7 and the perimeter of the rectangle is 946 m. What will be the area of the rectangle?

The perimeter of a semicircle is 72 cm. Find the area of the circle having the same radius as the semicircle.

A rectangular park of dimension 25 m × 20 m has 2-meter wide paths inside it along all sides. Find the area of the path.

The circular path has an inner diameter and an outer diameter of 330 m and 358 m respectively. Find the area of the circular path.

The area of the bigger circle is 2.25 times the area of the smaller circle. Find the ratio of the radius of the bigger circle to the smaller circle.

Area of the circle of diameter 28 cm is equal to the perimeter of the rectangle in magnitude whose length is 8 cm more than its breadth. 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?

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

Find the ratio of the area of a square whose diagonal is 16√2 cm and the circumference of a circle with a diameter of 126 cm.

What could be the maximum area of a triangle inside a semi-circle with a radius measuring 7 cm?

The perimeter of a rectangle is 228 cm and its length is 26 cm more than its breadth. If the area of the rectangle is 80% of the area of a circle, what is the circumference (in cm) of the circle?

The circumference of the semi-circle of radius 14 cm is 6 cm less than the perimeter of the sector of another circle. If the angle of the sector is 45° then find the radius of another circle.

An increase of 2 cm in the side of a square will increase its area by 68 cm². If one of its sides is reduced by half and the other one is increased by 4 cm, what will be the area (in cm²) of the rectangle obtained?

The difference between the circumference and radius of a circle is 37 cm. What is the area of the circle?

A rectangular field has a length of 20 meters and a diagonal of 25 meters. Find the width of the field.

The cost of fencing a hexagonal plot at the rate of Rs. 9 per metre is Rs. 1620. What is the perimeter of the plot? (in m)

The circumference of a semi-circle having a radius of 14 cm is equal to the perimeter of a square, then find the area of the square.

The area of the rectangle is four times the area of the square. If the length of the rectangle is 60 cm and breadth of the rectangle is equal to the side of the square, then find the area of the square.

A rectangular grassy lawn is 18 m by 15 m. It has a gravel path 2 m wide all around it on the outside. What is the area of the path?

The circumference of the semi-circle of radius 14 cm is 6 cm less than the perimeter of the sector of another circle. If the angle of the sector is 45° then find the radius of another circle.

A rectangular field has a length that is 4 m more than its width. The perimeter of the rectangle is 56 m. If the area of this rectangle is 64 m² less than the area of a square field. Find the length of the side of the square.

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?

What is the perimeter of a sector of a circle (in cm) if the radius of the circle is 10.5 cm and the angle subtended at the centre of the circle is 60°? (Use π =\(22 \over 7\) )

A copper wire is bent in the form of an equilateral triangle and has an area equal to 484\(\sqrt{3}\) cm². If the same wire is bent in to the form of a circle, the area area enclosed by the wire is?

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)

A copper wire is bent in the form of a square, and it encloses an area of 30.25 cm². If the same wire is bent to form a circle, then find the area of the circle. [Use \(\pi=\frac{22}{7}\)]

A race track is in the shape of a ring whose inner and outer circumferences are 880 m and 1012 m, respectively. What is the area (in m²) of the track? (Take \(\pi = {22 \over 7}\))

A rectangular courtyard is 5 m 52 cm long and 8 m 97 cm broad. It is to be paved with the square tiles of the same size. Find the least number of such square tiles required to pave the rectangular courtyard.

A circle is inscribed in the quadrant whose radius is 7 cm. What is the area (in cm²) of the circle?

The length of a rectangle is 10 cm more than the side of a square and its breadth is 8 cm less than the side of the square. If the areas of both the rectangle and square are equal, then what will be the perimeter (in cm) of the rectangle?

Anu wants to stitch a border along the outer edge of the new shape formed after cutting out the squares.If the cost of the border stitching is ₹12 per meter, what is the total cost of stitching the border?

What is the length of the boundary (in meters) of the semicircular walking track?

Find the area of the shaded portion in m² ?

Consider the following for the next two questions that follow :

Let p be the perimeter of the largest sector, then what is the value of 2p (in cm)?

What percentage of the garden’s area is occupied by the fountain (rounded to 2 decimal places)?

Anu wants to place embroidery only on the inner L-shaped path left by the cuts (edges where cuts were made).What is the total length (in metre) of the inner cut edges?

In the given figure, a square ABCD is inscribed in a quadrant APCQ. If AB = 16 cm. Find the area of the shaded region (take π = 3.14 ) correct to two places of decimal.

The sides of two square are in the ratio 2 : 3 and the sum of their perimeters is 180 cm. Find the area of the larger square (in cm²)

If A is the area of the smallest sector and B is the area of the largest sector, then what is A+B ?

The diagonal of a rectangular field is 18 m, and its area is 126 m². What will be the total expenditure in fencing the field at the rate of ₹9 per metre?

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?

Find the area of a rectangle whose length is 52m and breadth is 9m.

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?

The sides of two square are in the ratio 2 : 3 and the sum of their perimeters is 180 cm. Find the area of the larger square (in cm²)

The diagonal of a rectangular field is 18 m, and its area is 126 m². What will be the total expenditure in fencing the field at the rate of ₹9 per metre?

The area of the sector of a circle with radius 4 cm and an angle of 30° is (take π = 3.14):

What is the cost of flooring the rectangular room?

Statement I: Length and breadth of the room are in the ratio 3 : 5.

Statement II: Length of the hall is 108 m and the cost of flooring is Rs. 150 per m².

Statement III: Perimeter of the hall is 280 m and the cost of flooring is Rs. 150 per m². 

There is a road of uniform width around a campus, which is in the shape of a rectangle. Find the outer perimeter of the road.

Statement I: The Area of the road is 180 m² while the width of the road is 2 meters.

Statement II: The length of the campus is 9 meters more than the width of the campus.

Statement III: The inner perimeter of the road is 82 meters, and the width of the road is 2 meters.