Question

From a square metal sheet of side $28cm$, a circular sheet of largest possible radius is cut off the area of the remaining sheet is

• A. $784c{m}^2$
• B. $78.4c{m}^2$
• C. $168c{m}^2$
• D. $84c{m}^2$

Answer 1

Answer: (C)

$168c{m}^2$

Side of the metal square $=28$ cm

Largest possible radius $=14$ cm

$\therefore$ Area of largest possible circle $=\pi (14{)}^2$

$=\frac{22}{7}\times 14\times 14$

$=616c{m}^2$

$\therefore$ Area of remaining sheet$=$ Area of square - Area of Circle

$=a^2-\pi r^2$

$=\left(28\right)2-616$

$=784-616$

$=168c{m}^2$