RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 18. Area of Circle, Sector and Segment

Subject: Maths - Class 10th

Q. No. 41 of Exercise 18A

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41

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.


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