Question

Find the radius of the bigger circle if the area of ring is 96 pai cm^2 and the area of smaller circle is 34Pai cm^2

Answer 1

$\huge {\mathfrak {Solutions}}$


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

Answer 2

Given :

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


To Find :

The radius of the bigger circle .

Solution :


Let us consider the bigger circle be x

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

Then,

The radius of the bigger circle :

Area of circle = π r²

πr² = 130 π
r² = 130
r = √130 = 11.40 Approximately

So,
The required radius of the bigger circle is of measure = 11.40 cm.

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