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Answered by Anonymous
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Answered by ayush0017
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.

Perimeter and Area of a Circle

In the given figure, the ar...

In the given figure, the area enclosed between two concentric circles is 808.5 cm

2

. The circumference of the outer circle is 242 cm. Calculate the radius of the inner circle

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December 30, 2019avatar

Abiha Sapra

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ANSWER

Let the radius of the inner circle be r and the radius of the outer circle be R

Area enclosed between the two concentric circles =π(R

2

−r

2

)

Given 2πR=242

⇒R=

22×2

242×7

⇒R=

2

77

Now, π(R

2

−r

2

)=808.5

⇒(

2

77

)

2

−r

2

=

22

808.5×7

4

5929

−r

2

=257.25

⇒r

2

=1225

⇒r=35

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