Question

The given figure is made up of a rectangle and $2$ identical circles. If the length of the rectangle is $28cm$, what is the area of the region in the rectangle excluding the areas occupied by the circle? $(Use\pi =\frac{22}{7})$

• A. $84c{m}^2$
• B. $105c{m}^2$
• C. $152c{m}^2$
• D. $123c{m}^2$

Answer 1

Answer: (A)

$84c{m}^2$

Radius of the circle $=\frac{\text{length of rectangle}}{4}$

Thus radius of the circle and breath of the rectangle are $7$ and $14$ respectively.

Required Area $=$ Area of rectangle $-2$ $\times$ area of circle( radius of circle

$=28$$\times$$14-2$$\times$$\pi r^2$

$=392-2\times \frac{22}{7}\times 7\times 7$

$=392-308$

$=84$ ${cm}^2$