Question

a circular pool has an area of approximately 154 square feet. to the nearest foot, how much fencing is needed to completely surround the pool? a 22 ft b 40 ft c 44 ft d 154 ft

Explanation:

Step1: Find the radius from the area.

The area formula of a circle is $A = \pi r^{2}$. Given $A=154$ square - feet and taking $\pi=\frac{22}{7}$, we have $154=\frac{22}{7}r^{2}$. Then $r^{2}=\frac{154\times7}{22}=49$, so $r = 7$ feet.

Step2: Calculate the circumference.

The circumference formula of a circle is $C = 2\pi r$. Substituting $r = 7$ feet and $\pi=\frac{22}{7}$, we get $C=2\times\frac{22}{7}\times7 = 44$ feet.

Answer:

C. 44 ft