Question

1. the diameter of a circle is 8 centimeters. what is the area of the circle?

a) 50.24 cm²
b) 25.12 cm²
c) 12.56 cm²
d) 37.68 cm²

Explanation:

Step1: Find the radius

The radius \( r \) of a circle is half of its diameter \( d \). Given \( d = 8 \) cm, so \( r=\frac{d}{2}=\frac{8}{2} = 4 \) cm.

Step2: Calculate the area

The formula for the area of a circle is \( A=\pi r^{2} \). Using \( \pi\approx3.14 \) and \( r = 4 \) cm, we have \( A = 3.14\times4^{2}=3.14\times16 = 50.24 \) \( \text{cm}^2 \).

Answer:

A) \( 50.24\ \text{cm}^2 \)