Question

what is the area of a circular wading pool with a radius of 50 cm?

a. 31415.9 cm²

b. 157.1 cm²

c. 7854.0 cm²

d. 314.2 cm²

Explanation:

Step1: Recall the formula for the area of a circle

The formula for the area \( A \) of a circle is \( A = \pi r^2 \), where \( r \) is the radius of the circle.

Step2: Substitute the given radius into the formula

We are given that the radius \( r = 50 \, \text{cm} \). Substituting this into the formula, we get \( A=\pi\times(50)^2 \).

Step3: Calculate the value

First, calculate \( 50^2 = 2500 \). Then, multiply by \( \pi \) (using \( \pi\approx3.1416 \)): \( A = 3.1416\times2500 = 7854.0 \, \text{cm}^2 \).

Answer:

C. 7854.0 \( \text{cm}^2 \)