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The Area Enclosed Between the Concentric Circles is 770cm2. If the Radius of Outer Circle 21cm. Find the Radius of Inner Circle - Mathematics

Sum

The area enclosed between the concentric circles is 770cm2. If the radius of outer circle 21cm. find the radius of inner circle

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Solution

Radius of outer circle = 21𝑐𝑚

Radius of inner circle = 𝑅2

Area between concentric circles = area of outer circle – area of inner circle

⇒ 770 =`22/7`(212 − R22)

⇒ 212 − 𝑅22 = 35 × 7 = 245

⇒ 441 – 245 = 𝑅22

⇒𝑅2= `sqrt(196)` = 14 𝑐𝑚

Radius of inner circle = 14cm.

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 13 Areas Related to Circles
Exercise 13.1 | Q 19 | Page 12
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