S 9. The diameter of a circular park is 24 m. A 3 m wide path runs around it from inside. Find the cost of paving the path at 25 per square meter.
Answers
Answered by
2
Answer: Let the diameter of the
circular park ( D ) = 24 m
Radius of the park ( R ) = D/2
R = 24 /2 = 12 m
If the width of the path inside the
park ( w ) = 3m
Radius of the inside circle (r ) = R - w
r = 12 - 3 = 9 m
Area of the path ( A ) = πR² - πr²
A = π(R + r ) (R - r )
= π ( R + r ) w
= ( 22 /7 ) ( 12 + 9 ) ( 3 )
= 22 × 3 × 3
A = 198m²
Cost of the paving the per square
meter = Rs 25
Cost of paving total area of the path
=25 × 198
= Rs4950
Step-by-step explanation:
Similar questions