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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
question
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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