Question

From a rectangular metal sheet of sides 25 cm and 20 cm a circular sheet as large as possible is cut off. What is the area of the remaining sheet? $(\pi =3.14)$

• A. 186 $c{m}^2$
• B. 144 $c{m}^2$
• C. 93 $c{m}^2$
• D. 72 $c{m}^2$

Answer 1

The correct option is A 186 $c{m}^2$

The diameter of the circle = breadth of the rectangle = $20cm$.
Hence the radius of the circle = $10cm$.
The area of the rectangle = $500sqcm$.
The area of the circle = $\pi r^2=3.14\times 10\times 10=314{cm}^2$
The difference in the area =$186sqcm$.