Question

Find the radius of a circle with a circumference of 49 yards. Round your answer to the nearest hundredth of a yard.The radius of the circle is aboutPrevious12yards.Next

Answer 1

Step-by-step explanation

The circumference C of a circle with a radius r is given by the following formula:

`C=2\pi r`

Then if the circumference is 49 yd we obtain the following equation that we must solve for r:

`49=2\pi r`

We can divide both sides by 2π:

`\begin{gathered} (49)/(2\pi)=(2\pi r)/(2\pi) \\ r=(49)/(2\pi)=7.798592 \end{gathered}`Answer

Rounding to the nearest hundredth the answer is 7.80.