Find the radius of a circle whose circumference is 23
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Answer:
For circle with radius = 15 cm
Circumference of circle = 2πr
= 2 × 22/7 × 15 cm = (660/7) cm
For circle with radius = 8 cm
Circumference of circle = 2πr
= 2 × 22/7 × 8 cm = 352/7 cm
Sum of the circumference of these two circles
= (660/7) cm + (352/7) cm = (1012/7) cm
If the required radius = R cm
Its circumference = 2πR
= 2 × 22/7 × R cm = (44/7) R cm
Given =, (44/7) R = 1012/7
⇒ R = 7/44 × 1012/7 cm = 23 cm
∴ Required radius = 23 cm
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