# Find the Area of a Quadrant of a Circle Whose Circumference is 88 Cm. - Mathematics

Sum

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

#### Solution

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 cm.

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#### APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 18 Area of Circle, Sector and Segment
Exercise 18B | Q 21 | Page 832