NCERT Solutions for Class 10 Maths Chapter 12

Important NCERT Questions

Areas Related To Circles Class,

NCERT Books for Session 2022-2023

CBSE Board and UP Board Others state Board

EXERCISE 12.1

Page No:225

Questions No:2

# The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having area equal to the sum of the areas of the two circles.

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Radius of first circle (r₁) = 8 cm,

Radius of second circle (r₂) = 6 cm

Let the radius of the third circle = r

Area of the first circle = πr₁² = π(64) = 64π

Area of the second circle = πr₂² = π(36) = 36π

Area of the third circle = πr²

According to question,

Area of the third circle = Area of the first circle + Area of the second circle

⇒ πr² = 64π + 36π ⇒ πr² = 100π ⇒ r = √100 = 10 cm

Hence, the radius of the circle, having area equal to the sum of the areas of the two circles, is 10 cm.

Video Explanation for this question, see here👀🙌