Question

A square park has each side of 100 m. At each corner of the park, there is a flower bed in the form of a quadrant of radius 14 m. Find the area of the remaining part of the park (Use $\pi$ = 22/7).

• A. $9810m^2$
• B. $9384m^2$
• C. $9764m^2$
• D. $8384m^2$

Answer 1

Answer: (B)

$9384m^2$

Let A be the area of each quadrant of a circle of radius 14 cm.

$A=\frac{1}{4}\left(\pi r^2\right)=\frac{1}{4}\times \frac{22}{7}\times 14\times 14=154c{m}^2$

$\therefore$ Area of quadrant = $(4\times 154)m^2=616m^2$

Area of square park having side 100 m long =$(100\times 100)m^2=10,000m^2$

Hence ,
Area of the remaining park of the park $=10,000-616$ = $9384m^2$