Q4 of 45 Page 12

The circumference of a circle is 22 cm. Find the area of its quadrant. (CBSE 2012)

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.

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(CBSE 2012)