RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 18. Area of Circle, Sector and Segment

Subject: Maths - Class 10th

Q. No. 4 of Exercise 18A

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If the area of a circle is numerically equal to twice its circumference, then what is the diameter of the circle?


Area of circle = 2 × Circumference of circle …… (i)

Let the radius of the circle be ‘r’.

Then, the area of the circle = πr2

and the circumference of the circle = 2πr

Using (i), we have

πr2 = 2 × 2πr

πr2 = 4πr

r = 4 cm

Diameter = 2 × radius

Diameter = 2 × 4

= 8 cm

Hence, the diameter of the circle is 8 cm.

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