Area Related to...

A square circumscribes a circle. Find the area enclosed between the square and the circle, if radius of the circle is 10 cm.

In the following figure, the diameter AB = 13 cm and BC = 5 cm. Then, the area of the shaded region is

In a quadrant of a circle, a square is drawn as shown in the figure. If the area of the shaded region is 56 sq. cm, then the radius of the quadrant is

The area of a circle is 2500 m². If the minor sector covers 20% area of the circle, what is the area of the major sector?

The sum of areas of two circles touching internally is 500.5 sq. cm. If the distance between their centres is 3.5 cm, then the ratio of their radii is

A circle having an area of 1386 cm² is made up of a wire. If the same wire is bent to make an equilateral triangle, what will be the area of the triangle? (Use pi = and = 1.73)

In a square sheet of side 28 cm, four circular parts are cut as shown in the figure. Then, the area of the remaining sheet is

The cost of ploughing a circular field at 50 p per m² is Rs. 4928. What will be the cost of fencing the field at the rate of Rs. 12 per m?

As in the figure, a table fan of three wings in the shape of semicircles moving in a circle of radius 4.5 cm is shown. Find the area of remaining part of this circle which is not covered by the wings.

Two identical circles intersect such that their centres and the points at which they intersect form a square of side 1 cm. The area (in sq. cm) of the portion that is common to the two circles is

The ratio of the circumference to the area of the shaded region of the following figure, if the radius of the sectors is 7 cm, is

The circumference of a circle is equal to the perimeter of a square. If the perimeter of the square is 44 cm, then what is the difference between the area of the circle and that of the square?

A truck covers 66 m in 15 seconds. If the area of the tyre of the truck is 616 cm², then how many revolutions will the tyre complete in 72 seconds?

Find the area of the shaded portion in the given figure.

A is driving his truck in the rain. He uses its wipers to clean the glass. The wipers are sweeping through an angle of 105° each time. If the total area cleaned by the wipers in one sweep is 594 cm², then what is the length of the blade of the wiper?

The given figure consists of 4 small semi-circles and 2 big semi-circles. If small semi-circles are equal in radii and bigger semi-circles are also equal in radii, find the perimeter and area of the shaded portion of the figure, given that the radius of each bigger semi-circle is 20 cm.

A square park is surrounded by 4 semi-circular pitches as shown in the figure. If the circumference of each semi-circular pitch is 33 m, find the cost of spraying pesticide on the square park and 4 semi-circular pitches at Rs. 4.5/m².

The area of a square is 196 cm². What will be the radius of the largest semicircle that can be drawn completely inside on one of its sides?

There is a circular playground which is divided into four sections. These four sections are used by different persons. Half of the playground is used by the cricket coach. Rest of the playground is divided into three sections, where one is in the shape of a triangle. The biggest side of the triangle has same length as the diameter of the circular playground and the other two sides of the triangle are 48 m and 14 m. If all the vertices of the triangle touch the circle, then what will be the area of the shaded sections? (Answer up to two decimal places.)

Anu prepares two playgrounds for pets, one is circular and another is rectangular. The areas of the circular and rectangular playgrounds are 22,176 cm² and 55,440 cm², respectively. She wants to create a fence around the playgrounds. If the length of the rectangular playground is 13.86 m, then how much more wire does she have to buy for the rectangular playground than for the circular playground?

The perimeter of a circle is the same as the perimeter of a triangle with all the sides of same size and the perimeter of the triangle is the same as the perimeter of a square which is 528 cm.

(1) What will be the area of a circle which has twice the diameter of the given circle?
(2) If there is a circle inscribed in the square, then what will be the area of the inscribed circle?
(3) What will be the difference between the area of the triangle and the area of the square?

Note: Give answer up to two decimal places and .

Find the area of the shaded region if radius is 21 cm and area of triangle OAB is ^.

Match the shapes in Column I with the area of the shaded region given in Column II

	Column I	Column II
(M)	The lengths of sides AB and BC are 8 cm and 4 cm, respectively.	(i) 40 cm2
(N)	The area of the triangle AOB is 191 cm2.	(ii) 112 cm2
(O)	ABCD is a square with each side 14 cm.	(iii) 8(4 – ) cm2

ABCD is a rectangle with AD = 1 unit. DPF and CQF are two equal arcs drawn with A and B as centres respectively. E is the midpoint of CD. Another arc with E as centre touches the two arcs DPF and CQF at P and Q, respectively. What is the area of the shaded portion?

In a semi-circular sheet of radius 2r, a circular area and 2 semi-circles of radius r are cut as shown in the figure. If AB = BC = BD = 2r, then what is the area of the shaded region?