Question

What is the perimeter of a circular plot which occupies an area of 616 square meter?

• A. 80 meter
• B. 88 meter
• C. 72 meter
• D. 76 meter

Answer 1

Answer:

B. 88 meter

1 . Find the Radius ($r$)
The formula for the area of a circle is:
$\text{Area} = \pi r^2$

Given that the $\text{Area} = 616 \text{ m}^2$ and taking $\pi = \frac{22}{7}$:
$616 = \frac{22}{7} \times r^2$

$r^2 = 616 \times \frac{7}{22}$

$r^2 = 28 \times 7$

$r^2 = 196$

$r = \sqrt{196} = 14\text{ metres}$

2. Calculate the Perimeter (Circumference)
The formula for the perimeter of a circle is:
$\text{Perimeter} = 2 \pi r$

Using $r = 14\text{ metres}$:
$\text{Perimeter} = 2 \times \frac{22}{7} \times 14$

$\ {Perimeter} = 2 \times 22 \times 2$

$\text{Perimeter} = 88\text{ metres}$