Find the path area of circular shaped grassland of radius 42 m where w

1.	Find the path area of circular shaped grassland of radius 42 m where width of the path is 7 m. around and outside the circle. Find the area of path and total cost of flooring, if the cost of flooring ₹ 150 per sq.m.
Answer» Radius of circular floor = 42 m Width around it = 7 m Radius of outer circle = 42 + 7 = 49 m Area of outside path = Area of outer circle – Area of inner circle Area of inner circle = πr² = \(\frac {22}7\) × 42 × 42 Area of the outer circle = πr² = \(\frac {22}7\) × 49 × 49 Area of floor = \(\frac {22}7\)(49 × 49 – 42× 42) = \(\frac {22}7\)(2401 – 1764) = \(\frac {22}7\)× 637 = 2002 m² ∴ Cost of flooring at the rate of ₹ 150 per sq.m is 2002 × 150 = ₹ 300300

Find the path area of circular shaped grassland of radius 42 m where width of the path is 7 m. around and outside the circle. Find the area of path and total cost of flooring, if the cost of flooring ₹ 150 per sq.m.

Answer»

Radius of circular floor = 42 m

Width around it = 7 m

Radius of outer circle = 42 + 7 = 49 m

Area of outside path = Area of outer circle – Area of inner circle

Area of inner circle = πr² = \(\frac {22}7\) × 42 × 42

Area of the outer circle = πr² = \(\frac {22}7\) × 49 × 49

Area of floor = \(\frac {22}7\)(49 × 49 – 42× 42)

= \(\frac {22}7\)(2401 – 1764)

= \(\frac {22}7\)× 637 = 2002 m²

∴ Cost of flooring at the rate of ₹ 150 per sq.m is 2002 × 150 = ₹ 300300