Question

circle n has a radius of 9 millimeters(mm). circle m has an area of 25π mm². what is the area, in mm², of circle n and m? a. 106π b. 61π c. 43π d. 14π

Explanation:

Step1: Recall area formula for circle

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

Step2: Calculate area of circle N

For circle N with $r_N=9$ mm, substitute into the formula: $A_N=\pi\times(9)^{2}=81\pi$ mm².

Step3: Given area of circle M

The area of circle M is given as $25\pi$ mm².

Step4: Find combined area

The combined area of circle N and M is $A = A_N+A_M=81\pi + 25\pi=106\pi$ mm².

Answer:

b. $106\pi$