A rectangular piece is 20 m long and 15 m wide. From its four corners,

1.	A rectangular piece is 20 m long and 15 m wide. From its four corners, quadrants of radii 3.5 m have been cut. Find the area of the remaining part.
Answer» Length of rectangle = 20 m2 Breadth of rectangle = 15 m² Area of rectangle = 20 ×15 = 300 m² Radius of quadrant = 3.5 m² Area of quadrant = \(\frac{1}4\timesπr^2\) Area of quadrant = \(\frac{1}4\times\frac{22}7\times3.5\times3.5\) = \(\frac{19.25}2\) m² Area of 4 quadrant = \(4\times\frac{19.25}2\) m² = 2 ×19.25 = 38.50 m² Area of remaining part = (area of rectangle-area of 4 quadrant) Area of remaining part = 300 – 38.50 = 261.5 m²

A rectangular piece is 20 m long and 15 m wide. From its four corners, quadrants of radii 3.5 m have been cut. Find the area of the remaining part.

Answer»

Length of rectangle = 20 m2

Breadth of rectangle = 15 m²

Area of rectangle = 20 ×15 = 300 m²

Radius of quadrant = 3.5 m²

Area of quadrant = \(\frac{1}4\timesπr^2\)

Area of quadrant = \(\frac{1}4\times\frac{22}7\times3.5\times3.5\)

= \(\frac{19.25}2\) m²

Area of 4 quadrant = \(4\times\frac{19.25}2\) m² = 2 ×19.25 = 38.50 m²

Area of remaining part = (area of rectangle-area of 4 quadrant)

Area of remaining part = 300 – 38.50 = 261.5 m²