Math, asked by uddhav15, 11 months ago

The area enclosed between two concentric circles is 770cm square.If the radii of the circles differ by 7cm,find both the radii​

Answers

Answered by sreedevisrinivasan
3

Answer:

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Answered by tiger009
2

Find Radii of the circle.

Step-by-step explanation:

Let, the radius of the first circle be r1

Then, r1 = r

Let, the radius of the other circle be r2

Then, r2 = r+7

Area of circle = \pi r^2

According to the question,

Given,   \pi r2^2-\pi r1^2 = 770cm^2

Then,    \pi (r2^2-r1^2)=770

Put the value of r1 and r2,

\frac{22}{7} ((r+7)^2-r^2)=770

\frac{22}{7} (r^2+49+14r-r^2)=770

7+2r=\frac{770}{22}

7+2r=35

2r=28

r = 14

So, r1 = 14 and r2 = r + 7 = 21

Therefore, the radius of 1st circle = 14 and 2nd circle = 21.

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