Question

a circular fountain has a diameter of 16 meters. what is its area?
a. 200.96 m²
b. 50.24 m²
c. 150.72 m²
d. 100.48 m²

Explanation:

Step1: Calculate the radius

The radius $r$ is half the diameter.
$r = \frac{16}{2} = 8$ m

Step2: Apply area formula for circle

Use the formula $A = \pi r^2$, take $\pi = 3.14$.
$A = 3.14 \times 8^2 = 3.14 \times 64$

Step3: Compute the final area

Calculate the product.
$A = 200.96$ m²

Answer:

a. $200.96\ \text{m}^2$