Question

2. The sum of the radii of two circles is 140 cm and the difference of their circumferences is
88 cm. Find the radii of the two circles.​

Answer 1

Answer:

77cm, 63cm

Step-by-step explanation:

Let the radii of the two circles be r1 and r2

given r1+r2=140

r1=140-r2    (1)

also

2πr1-2πr2=88

=2π(r1-r2)=88

=r1-r2=88/2π

Putting the value of r1  from equation (i), we have

=40-r2-r2=88*7/2*22

=2r2=140-14

=r2=63cm

Putting the value of r2 in (i), we get

=r1=140-63

=r1=77cm

thus 2 radii are 77cm and 63cm

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