Question

find the circumference and area of this figure.
c = ? units
a = units²
use π = 3.14
round your answer to the nearest hundredth

Explanation:

Step1: Find the radius of the circle

From the graph, the distance between the two marked points (which is the diameter) is \(8 - 2=6\) units. The radius \(r=\frac{d}{2}\), so \(r = 3\) units.

Step2: Calculate the circumference

The formula for the circumference of a circle is \(C = 2\pi r\). Substituting \(r = 3\) and \(\pi=3.14\), we get \(C=2\times3.14\times3\).

$$
LATEXBLOCK0
$$

Step3: Calculate the area

The formula for the area of a circle is \(A=\pi r^{2}\). Substituting \(r = 3\) and \(\pi = 3.14\), we get \(A=3.14\times3^{2}\).

$$
LATEXBLOCK1
$$

Answer:

\(C = 18.84\) units, \(A=28.26\) units²