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.
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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
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A N S W E R:
- Circumstance of two circles is 18 cm.
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