Question

What is the area of the blue sector?
I need help please​

Answer 1

3.3 units²

Explanation:

Hi there!

`(Angle(sector))/(360) = (Area (sector))/(Area (circle))`

Angle of the sector: 15 degrees

Area of the sector: solving for

Area of the circle: ?

1) Determine the area of the circle

`A=\pi r^2` where r is the radius

Plug in the radius (5)

`A=\pi (5)^2\\A=25\pi`

Therefore, the area of the circle is 25π units².

2) Plug all information into sector formula

`(Angle(sector))/(360) = (Area (sector))/(Area (circle))\\(15)/(360) = (Area (sector))/(25\pi )`

Multiply both sides by 25π

`(15)/(360) *25\pi = Area(sector)\\(15)/(360) *25\pi = Area(sector)\\3.3=Area(sector)`

Therefore, the area of the sector is approximately 3.3 units².

I hope this helps!