154
7
44
14
Let the radius of circle be r
Then circumference of circle = 2πr
Then, the difference between the circumference and circle = 2πr - r
But given that the difference between the circumference and circle = 37cm
∴ 2πr - r = 37 → r(2π - 1) = 37 → r = 37/(2π - 1) cm
→ r = 37/(2 × 22/7 - 1) cm
→ r = 37 × 7/(44 - 7) cm
→ r = 37 × 7/37 = 7 cm
Then, circumference of circle = 2π × 7 = 2 × 22/7 × 7 = 44 cm