Question

Find the area of a quadrant of a circle whose circumference is 88 cm.

Answer 1

Let the radius of the circle be r.

​Now,

Circumference = 88 

⇒ 2πr = 88 

⇒ r = 14 cm

Now,

Area of quadrant `= 1/4pi"r"^2 = 1/4 xx 22/7xx (14)^2 = 154   "cm"^2`

Hence, the area of the quadrant of the circle is 154 cm² .