Question

1. what is the approximate area of a circle with a radius of 4 meters, rounded to the nearest square meter? (use 3.14 for π.)

a. 12.6 m²
b. 25.1 m²
c. 50.2 m²
d. 64.0 m²

Explanation:

Step1: Write the formula for the area of a circle

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

Step2: Substitute the given values

Given \(r = 4\) meters and \(\pi=3.14\), substitute into the formula: \(A=3.14\times4^{2}\).

Step3: Calculate \(4^{2}\)

\(4^{2}=4\times4 = 16\).

Step4: Multiply by \(\pi\)

\(A = 3.14\times16=50.24\approx50.2\) (rounded to the nearest tenth).

Answer:

C. \(50.2\ m^{2}\)