Question

find the circumference and area of this figure.
c = ? units
a = units²
use π = 3.14

Explanation:

Step1: Find the radius

From the graph, the distance between the two points (which is the diameter) is \(9 - 4=5\) units. The radius \(r=\frac{d}{2}=\frac{5}{2} = 2.5\) units.

Step2: Calculate the circumference

The formula for the circumference of a circle is \(C = 2\pi r\). Substituting \(r = 2.5\) and \(\pi=3.14\), we get \(C=2\times3.14\times2.5\).

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Step3: Calculate the area

The formula for the area of a circle is \(A=\pi r^{2}\). Substituting \(r = 2.5\) and \(\pi = 3.14\), we get \(A=3.14\times(2.5)^{2}\).

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Answer:

\(C = 15.7\) units, \(A=19.625\) units²