Question

1. the radius of a circle with area a can be approximated using the formula $r = sqrt{\frac{a}{3}}$. estimate the radius of a wrestling mat circle with an area of 452 square feet. round to the nearest integer. locate the value on a number line

Explanation:

Step1: Substitute the area value

Given $A = 452$ and the formula $r=\sqrt{\frac{A}{3}}$, substitute $A$ into the formula: $r=\sqrt{\frac{452}{3}}$.

Step2: Calculate the value inside the square - root

First, calculate $\frac{452}{3}\approx150.67$. So $r = \sqrt{150.67}$.

Step3: Find the square - root and round

$\sqrt{150.67}\approx12.27$. Rounding to the nearest integer, $r\approx12$.

Answer:

12