Q41 of 157 Page 819

Find the area of a quadrant of a circle whose circumference is 44 cm.

Given:

Circumference of circle = 44 cm

Let the radius of the circle be ‘r’ cm

∵ Circumference of circle = 2πr

∴ 44 = 2πr

= × r

r = 22 × = 7 cm

Now, Area of quadrant = × πr²

= × × 7 × 7

= = = 38.5 cm²

Hence, the area of the quadrant is 38.5 cm².

In the given figure, a square OABC is inscribed in a quadrant OPBQ of a circle. IF OA = 20 cm, find the area of the shaded region. [Use π = 3.14]

In the given figure, APB and AQO are semicircles and AO = OB. If the perimeter of the figure is 40 cm, find the area of the shaded region.

In the given figure, find the area of the shaded region, where ABCD is a square of side 14 cm and all circles are of the same diameter.

Find the area of the shaded region in the given figure, if ABCD is a rectangle wit sides 8 cm and 6 cm ad O is the centre of the circle.