# A circle has radius 5.9 inches. Using the approximate π≈3.14 approximate what is the the circumference and area, rounded to the nearest hundredth?

Nov 2, 2017

Answers: $C = 37.05$ $\text{in}$ and $A = 109.30$ $\text{in"^2}$

#### Explanation:

Given a circle with $r = 5.9$ and $\pi = 3.14$, find the circumference and area, rounded to the nearest hundredth.

Note that the circumference of a circle $C = 2 \pi r$ and the area of a circle $A = \pi {r}^{2}$.

We will now apply these two formulas to find the solutions:
Circumference:
$C = 2 \pi r$
$= 2 \left(3.14\right) \left(5.9\right)$
$= 37.052 \approx 37.05$ $\text{in}$

Area:
$A = \pi {r}^{2}$
$= \left(3.14\right) {\left(5.9\right)}^{2}$
$= 109.3034 = 109.30$ $\text{in"^2}$

Therefore the circumference of the circle is $37.05$ $\text{in}$ and the area of the circle is $109.30$ $\text{in"^2}$, rounded to the nearest hundredths.