Question

what is the approximate length, in inches, of the radius of the circle? 20 60 400 600 the area of a circle is 1200 square inches.

Explanation:

Step1: Recall area formula

The area formula of a circle is $A = \pi r^{2}$, where $A$ is the area and $r$ is the radius.

Step2: Rearrange formula for radius

Given $A = 1200$ square - inches, we can solve for $r$: $r=\sqrt{\frac{A}{\pi}}$.

Step3: Substitute value of $A$

Substitute $A = 1200$ into the formula: $r=\sqrt{\frac{1200}{\pi}}$.

Step4: Approximate value

$\pi\approx3.14$, so $r=\sqrt{\frac{1200}{3.14}}\approx\sqrt{382.17}\approx 20$.

Answer:

20