Question

What is the measure of the circle if the radius of the circle is 8 meters and the measure of the minor arc colored in pink is 40 degrees?

Answer 1

Solution

What is the measure of the circle:

radius of the circle = 8

measure of the minor arc = 40

Using the Area of the pink sector formula:

$A=\frac{\theta}{360}\times\pi r^2$

$\begin{gathered} A=\frac{\theta}{360}\times\pi r^2 \\ A=\frac{40}{360}\times3.14\times8^2 \\ A=22.33m^2 \end{gathered}$

Area of the grey sector:

$\begin{gathered} A=\frac{\theta}{360}\times\pi r^2 \\ A=\frac{320}{360}\times3.14\times8^2 \\ A=178.63m^2 \end{gathered}$

Area of the circle:

$\begin{gathered} A=\pi r^2 \\ A=3.14(8)^2 \\ A=200.96m^2 \end{gathered}$