the circumference of a circle is 37.68 feet. what is the circles radius? round your answer to the nearest…

Explanation:

Step1: Recall the circumference formula

The formula for the circumference ( C ) of a circle is ( C = 2\pi r ), where ( r ) is the radius. We know ( C = 37.68 ) feet and we need to solve for ( r ).

Step2: Rearrange the formula to solve for ( r )

From ( C = 2\pi r ), we can divide both sides by ( 2\pi ) to get ( r=\frac{C}{2\pi} ).

Step3: Substitute the given value of ( C )

Substitute ( C = 37.68 ) into the formula: ( r=\frac{37.68}{2\pi} ). Using ( \pi\approx3.14 ), we have ( r = \frac{37.68}{2\times3.14} ).

Step4: Calculate the value

First, calculate the denominator: ( 2\times3.14 = 6.28 ). Then, divide ( 37.68 ) by ( 6.28 ): ( \frac{37.68}{6.28}=6 ). Wait, but if we use a more precise value of ( \pi ), say ( \pi\approx3.1416 ), then ( r=\frac{37.68}{2\times3.1416}=\frac{37.68}{6.2832}\approx6.00 ) (when rounded to the nearest hundredth).

Answer:

( 6.00 )