A square tank has an area of 1600 m 2 . There are four semicircular plots around it. Find the cost of turfing the plots at Rs. 12.50 per m 2 . [Take π = 3.14]

Question

Philoid · Accepted Answer

Let the length of side of the square tank be a

Area of square tank = a² = 1600 m²

⇒ a = √1600 m = 40 m

Let the radius of semicircle be R

From the figure we can see that

Length of the side of the square = Diameter of semicircle

40 m = 2 × R

R = 40/2 m

R = 20 m

Area of semi-circle = 1/2 R² = 1/2 × 3.14 × 20 × 20 m²

= 628 m²

Area of 4 semi-circles = 4 × 628 m²

= 2512 m²

Cost of turfing the plots = Rs. 12.50 per m²

Cost of Turfing = Cost of turfing per m² × Area of 4 semicircle

= Rs. 12.50 × 2512

= Rs. 31400

A square tank has an area of 1600 m2. There are four semicircular plots around it. Find the cost of turfing the plots at Rs. 12.50 per m2. [Take π = 3.14]

A square tank has an area of 1600 m². There are four semicircular plots around it. Find the cost of turfing the plots at Rs. 12.50 per m². [Take π = 3.14]