The circumference of a circle is 22 cm. Find the area of its quadrant.
Given:
Circumference of circle = 22 cm
Let the radius of the circle be ‘r’.
∵ Circumference of circle = 2πr
∴ 22 = 2 × π × r
⇒ 22 = 2 × × r
⇒ 22 × × = r or = r
or r =
∵ Area of circle = πr2
∴ Area of its quadrant = πr2
=
=
Hence the area of the quadrant of the circle is cm.