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:1

# The radii of two circles are 19 cm and 9 cm respectively. Find the radius of the circle which has circumference equal to the sum of the circumferences of the two circles.

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Radius of first circle (r₁) = 19 cm,

Radius of second circle (r₂) = 9 cm

Let, the radius of the third circle = r

Circumference of the first circle = 2πr₁ = 2π (19) = 38π

Circumference of the second circle = 2πr₂ = 2π (9) = 18π

Circumference of the third circle = 2πr

According to question,

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

⇒ 2πr = 38π + 18π ⇒ 2πr = 56π ⇒ r = 56π/2π = 28

Hence, the radius of the circle, which has circumference equal to the sum of the circumferences of the two circles, is 28 cm.

Here is the Video Solution of the above question ✔