Question

find the circumference and the area of a circle with radius 3 cm. 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 $C = 2\pi r$, where $r$ is the radius.
Substitute $r=3$ cm:
$C = 2\pi \times 3$

Step2: Calculate circumference

Simplify the expression:
$C = 6\pi$ cm

Step3: Recall area formula

The formula for the area of a circle is $A = \pi r^2$, where $r$ is the radius.
Substitute $r=3$ cm:
$A = \pi \times 3^2$

Step4: Calculate area

Simplify the expression:
$A = 9\pi$ cm²

Answer:

(a) Circumference: $6\pi$ cm
(b) Area: $9\pi$ cm²