Question

1. a circular tent has a radius of 5 feet. the area is calculated using a = πr². will the area be a rational or irrational number? why?

Explanation:

Step1: Substitute radius into formula

Given $r = 5$ and $A=\pi r^{2}$, then $A=\pi\times5^{2}=25\pi$.

Step2: Analyze the nature of the number

Since $\pi$ is an irrational number, and $25\pi$ is a non - zero multiple of $\pi$, $25\pi$ is an irrational number.

Answer:

The area will be an irrational number because it is of the form $25\pi$ where $\pi$ is irrational.