a circular park of 10 m radius is surrounded by 2 m circular path find the perimetre of the circular path
Answers
Given data:-
- A circular park of 10 m radius is surrounded by 2 m circular path.
Solution:-
Accirding to given
—› Radius of circular park ( r ) = 10 m
Now, we find perimeter of circular park
—› Perimeter of circular park
= 2πr
—› Perimeter of circular park
= 2 × 22/7 × 10
—› Perimeter of circular park
= 44/7 × 10
—› Perimeter of circular park
= 440/7
—› Perimeter of circular park
= 62.8571 m (approx)
—› Perimeter of circular park with circular path = 2π(r + 2)
—› Perimeter of circular park with circular path = 2 × 22/7 × (10 + 2 )
—› Perimeter of circular park with circular path = 2 × 22/7 × 12
—› Perimeter of circular park with circular path = 44/7 × 12
—› Perimeter of circular park with circular path = 528/7
—› Perimeter of circular park with circular path = 75.4285 (approx)
To find perimeter of circular path subtract {Perimeter of circular park with circular path } from { Perimeter of circular park }
Hence, here
—› Perimeter of circular path
= 75.4285 - 62.8571
—› Perimeter of circular path
= 12.5714 m