Question

Find the radius of a circle whose circumference is 23

Answer 1

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