Question

find the radius of a circle whose area is 211.2 square units. use your calculators value of π. round your answer to the nearest tenth.
radius = \boxed{} units

Explanation:

Step1: Recall circle area formula

The area of a circle is given by $A = \pi r^2$, where $A$ is area and $r$ is radius.

Step2: Isolate $r$ from formula

Rearrange to solve for $r$: $r = \sqrt{\frac{A}{\pi}}$

Step3: Substitute $A=211.2$

Substitute the given area: $r = \sqrt{\frac{211.2}{\pi}}$

Step4: Calculate and round

Use calculator value of $\pi$: $\frac{211.2}{\pi} \approx 67.227$, then $\sqrt{67.227} \approx 8.2$

Answer:

8.2 units