Q7 of 46 Page 73

Find the area of the shaded region shown in the figure. The four corners are quadrants. At the center, there is a circle of diameter 2 cm.

Area of square = side × side


= 4 × 4


= 16 cm2


Area of unshaded region = 4 × Area of 1 quadrant + Area of circle






= 6.28 cm2


Therefore,


Area of shaded region = Area of square- Area of


unshaded region


Area of shaded region = 16-6.28


= 9.72 cm2


More from this chapter

All 46 →
5

A cow is tied up for grazing inside a rectangular field of dimensions 40 m × 36 m in one corner of the field by a rope of length 14 m. Find the area of the field left ungrazed by the cow.

 6

A square park has each side of 100 m. At each corner of the park there is a flower bed in the form of a quadrant of radius 14 m as shown in the figure. Find the area of the remaining portion of the park.

 8

A paper is in the form of a rectangle ABCD in which AB = 20 cm and BC = 14 cm. A semicircular portion with BC as diameter is cut off. Find the area of the remaining part.

 9

On a square handkerchief, nine circular designs each of radius 7 cm are made. Find the area of the remaining portion of the handkerchief.