Question

what is the area of the circle guadalupe cuts out for mars? options: 3.5π in.², 9π in.², 12.25π in.², 49π in.². what is the radius of the circle guadalupe cuts out for mars? 3.5 in., 7 in.. what is the radius of the circle guadalupe cuts out for earth?

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: Find area for Mars

Given radius of circle for Mars $r = 3.5$ in. Substitute into formula: $A=\pi\times(3.5)^{2}= 12.25\pi$ in.$^{2}$.

Step3: Find radius for Earth

Given area of circle for Earth $A = 49\pi$ in.$^{2}$. Set $A=\pi r^{2}=49\pi$. Divide both sides by $\pi$: $r^{2}=49$. Take square - root of both sides, $r = 7$ in.

Answer:

What is the area of the circle Guadalupe cuts out for Mars? Answer: $12.25\pi$ in.$^{2}$
What is the radius of the circle Guadalupe cuts out for Mars? Answer: $3.5$ in.
What is the radius of the circle Guadalupe cuts out for Earth? Answer: $7$ in.