Question

find the area and the circumference of a circle with radius 8 mm. write your answers in terms of π, and be sure to include the correct units in your answers. (a) area: (b) circumference:

Explanation:

Step1: Recall area formula

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

Step2: Substitute radius value

Given $r = 8$ mm, so $A=\pi\times(8)^{2}=64\pi$ $mm^{2}$.

Step3: Recall circumference formula

The formula for the circumference of a circle is $C = 2\pi r$.

Step4: Substitute radius value

Given $r = 8$ mm, so $C = 2\pi\times8=16\pi$ mm.

Answer:

(a) Area: $64\pi$ $mm^{2}$
(b) Circumference: $16\pi$ mm