Question

find the circumference and the area of a circle with radius 2 m. write your answers in terms of π, and be sure to include the correct units in your answers. (a) circumference: (b) area:

Explanation:

Step1: Recall circumference formula

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

Step2: Substitute radius value

Given $r = 2$ m, then $C=2\pi\times2 = 4\pi$ m.

Step3: Recall area formula

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

Step4: Substitute radius value

Given $r = 2$ m, then $A=\pi\times(2)^{2}=4\pi$ m².

Answer:

(a) Circumference: $4\pi$ m
(b) Area: $4\pi$ m²