Question

1. a circular fountain has a diameter of 16 meters. what is its area?

a. 100.48 m²
b. 200.96 m²

Explanation:

Step1: Find the radius

The diameter \( d = 16 \) meters, and the radius \( r=\frac{d}{2}\). So \( r=\frac{16}{2}=8 \) meters.

Step2: Calculate the area of the circle

The formula for the area of a circle is \( A = \pi r^{2} \). Using \( \pi = 3.14 \), we substitute \( r = 8 \) into the formula: \( A=3.14\times8^{2}=3.14\times64 = 200.96 \) square meters.

Answer:

b. \( 200.96\ m^{2} \)