Question

find the area and the circumference of a circle with radius 3 m. use the value 3.14 for π, and do not round your answers. be sure to include the correct units in your answers.

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 $r = 3$ m and $\pi=3.14$, we have $A=3.14\times3^{2}=3.14\times9 = 28.26$ $m^{2}$.

Step3: Recall circumference formula

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

Step4: Substitute radius value

Substitute $r = 3$ m and $\pi = 3.14$ into the formula, $C=2\times3.14\times3=18.84$ m.

Answer:

Area: $28.26$ $m^{2}$
Circumference: $18.84$ m