8. Find the area ol e that can be inscribed In a circle of ra9. The di

1.	8. Find the area ol e that can be inscribed In a circle of ra9. The diameter of a circular park is 24 m. A 3 m wide paths around it from inside. Find the cost of paving therunpath at R 25 per square meter.naner is in the form of a rectangle PQRS in which
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

8. Find the area ol e that can be inscribed In a circle of ra9. The diameter of a circular park is 24 m. A 3 m wide paths around it from inside. Find the cost of paving therunpath at R 25 per square meter.naner is in the form of a rectangle PQRS in which

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