Question

the area of circular pathway is 88 m .if the radius of the outer circles is 8m ,find the radius of the inner circle

Answer 1

First find radius of of the circle.
Then subtract the outer circle with inner circle.

Answer 2

Answer:

The radius of the inner circle is 6 m .

Step-by-step explanation:

Formula

$Area\ of\ a\ circle = \pi r^{2}$

Where r is the radius .

As given

The area of circular pathway is 88 m .if the radius of the outer circles is 8m .

Let us assume that the outer radius of the circle is denoted by R and the inner radius is denoted by r .

Thus

$\pi = \frac{22}{7}$

$88 = \frac{22}{7}(8^{2}-r^{2})$

As 8² = 64

$88 = \frac{22}{7}(64-r^{2})$

$\frac{88\times 7}{22}= (64-r^{2})$

$\frac{8\times 7}{2}= (64-r^{2})$

$4\times 7= (64-r^{2})$

$28= (64-r^{2})$

64 - 28 = r²

36 = r²

r = √ 36

r = 6 m

Therefore the radius of the inner circle is 6 m .