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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

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Question

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

Sum

Solution

Radius of outer circle = 21๐‘๐‘š

Radius of inner circle = ๐‘…2

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

⇒ 770 =`22/7`(212 − R22)

⇒ 212 − ๐‘…22 = 35 × 7 = 245

⇒ 441 – 245 = ๐‘…22

⇒๐‘…2= `sqrt(196)` = 14 ๐‘๐‘š

Radius of inner circle = 14cm.

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Chapter 13: Areas Related to Circles - Exercise 13.1 [Page 12]

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RD Sharma Mathematics [English] Class 10
Chapter 13 Areas Related to Circles
Exercise 13.1 | Q 19 | Page 12

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