Question

The sum of the radii of two circles is 7 cm, and the difference of their circumferences is 8 cm. Find the circumferences of the circles. ​

Answer 1

Answer

Let the two radii of two circles be r1 and r2 respectively :-

→ r1 +r2 = 7_____(i)

and 2πr1 - 2πr2 = 8

r1 - r2 = 8/2π = 8×7/2×22

r1 - r2 = 14/11_____(ii)

On solving equation (i) and (ii)

r1 = 91/22

r2 = 63/22

→ Circumference of first circle :-

2πr1 = 2×22/7×91/22 = 26 cm

→ Circumference of two circle :-

2πr2 = 2×22/7×63/22 = 18 cm

All the best :)

Answer 2

A N S W E R:

• Circumstance of two circles is 18 cm.