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.
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