Question

circle n has a radius of 7 millimeters(mm). circle m has an area of 16π mm². what is the total area, in mm², of circle n and m? a. 65π b. 44π c. 30π d. 11π

Explanation:

Step1: Recall circle - area formula

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

Step2: Calculate the area of circle N

For circle N with $r_N=7$ mm, using the formula $A_N=\pi r_N^{2}=\pi\times(7)^{2}=49\pi$ mm².

Step3: Calculate the total area

The area of circle M is $A_M = 16\pi$ mm². The total area $A = A_N+A_M$. Substitute the values: $A=49\pi + 16\pi=65\pi$ mm².

Answer:

a. $65\pi$