Math, asked by Strife124, 1 year ago

sum of radii of two circles is 7cm and the difference of their circumference is 8cm. find the radius of two circles?

Answers

Answered by amanya012
38
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Answered by wifilethbridge
22

Answer:

Let the radius of 1st circle be r

Let the radius of 2nd circle be R

We are given that sum of radii of two circles is 7cm

So,r+R=7 --1

Circumference of circle with radius r = 2 \pi r

Circumference of circle with radius R = 2 \pi R

The difference of their circumference is 8cm.

So,2 \pi (R-r) = 8

Substitute the value of r from 1

2 \times \frac{22}{7} (7-r-r) = 8

r = \frac{63}{22}

\frac{63}{22}+R=7

R=7-\frac{63}{22}

R=\frac{91}{22}

Hence The radius of two circles are \frac{91}{22} and  \frac{63}{22}

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