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?

Question

asked Jul 26, 2023 94.6k views

1 Answer

IvyMike · Answer 1 · 2023-07-30T22:29:14+0000

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:

$A=(\theta)/(360)*\pi r^2$

$\begin{gathered} A=(\theta)/(360)*\pi r^2 \\ A=(40)/(360)*3.14*8^2 \\ A=22.33m^2 \end{gathered}$

Area of the grey sector:

$\begin{gathered} A=(\theta)/(360)*\pi r^2 \\ A=(320)/(360)*3.14*8^2 \\ A=178.63m^2 \end{gathered}$

Area of the circle:

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