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: Determine the radius

Count the grid - squares. The diameter \(d\) of the circle is from \(x = 1\) to \(x = 9\), so \(d=8\) units. Then the radius \(r=\frac{d}{2}=\frac{8}{2} = 4\) units.

Step2: Calculate the circumference

The formula for the circumference of a circle is \(C = 2\pi r\). Substitute \(r = 4\) and \(\pi=3.14\) into the formula: \(C=2\times3.14\times4=25.12\) units.

Step3: Calculate the area

The formula for the area of a circle is \(A=\pi r^{2}\). Substitute \(r = 4\) and \(\pi = 3.14\) into the formula: \(A=3.14\times4^{2}=3.14\times16 = 50.24\) square units.

Answer:

\(C = 25.12\) units
\(A = 50.24\) units\(^{2}\)