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

From the graph, the distance between the two points (diameter) is \(4 - 1= 3\) units. So the radius \(r=\frac{3}{2}=1.5\) units.

Step2: Calculate the circumference

The formula for the circumference of a circle is \(C = 2\pi r\). Substitute \(r = 1.5\) and \(\pi=3.14\) into the formula:
\(C=2\times3.14\times1.5\)
\(C = 9.42\)

Step3: Calculate the area

The formula for the area of a circle is \(A=\pi r^{2}\). Substitute \(r = 1.5\) and \(\pi = 3.14\) into the formula:
\(A=3.14\times(1.5)^{2}\)
\(A=3.14\times2.25\)
\(A = 7.065\approx7.07\)

Answer:

\(C = 9.42\) units, \(A=7.07\) units²