Question

find the radius of the bigger circle if the area of a ring is 96 pie cm sq. and the area of a smaller circle is 34pie cm.sq.

Answer 1

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Answer 2

$\huge {\mathfrak {Solutions :- }}$

Given :

Area of ring = 96 π cm²
Area of smaller circle = 34 π cm²

Let the bigger circle be x

Find the bigger circle :-

Area of Ring = Area of bigger circle - Area of smaller circle

96 π = x - 34 π
x = 34 π + 96 π cm²
x = 130 π

Now,
Find the radius of the bigger circle :-

Area of circle = π r²

πr² = 130 π
r² = 130
r = √130 = 11.40 approx.

Hence,
The radius of the bigger circle = 11.40 cm



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