Question

1. a circular track has a diameter of 10 meters. what is the area? use \\(\pi \approx 3.14\\).

a. 78.54 meters
b. 157.08 meters

Explanation:

Step1: Find the radius

The diameter \( d = 10 \) meters, and the radius \( r=\frac{d}{2}\). So \( r = \frac{10}{2}=5 \) meters.

Step2: Calculate the area of the circle

The formula for the area of a circle is \( A=\pi r^{2} \). Substitute \( \pi\approx3.14 \) and \( r = 5 \) into the formula: \( A = 3.14\times5^{2} \). First, calculate \( 5^{2}=25 \), then \( 3.14\times25 = 78.5 \) (close to 78.54 considering more precise calculation).

Answer:

a. 78.54 meters