SAT Question 96467fea: Area and Volume answer and explanation with Desmos solution

Choice A is correct. It’s given that circle N has a radius of $7$ mm. The area of a circle is given by the expression $\pi r^2$, where $r$ is the radius of the circle. Substituting $7$ for $r$ in the expression yields $\pi (7{)}^2$, or $49\pi$, for the area, in ${\text{mm}}^2$, of circle N. It’s also given that the area of circle M is $64\pi$

${\text{mm}}^2$. Adding the two areas yields $49\pi +64\pi$, or $113\pi$, ${\text{mm}}^2$. Therefore, the total area, in ${\text{mm}}^2$, of circles N and M is $113\pi$.