Question

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

Answer 1

Answer:

3.3 units²

Step-by-step explanation:

Hi there!

$\frac{Angle(sector)}{360} = \frac{Area (sector)}{Area (circle)}$

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

$\frac{Angle(sector)}{360} = \frac{Area (sector)}{Area (circle)}\\\frac{15}{360} = \frac{Area (sector)}{25\pi }$

Multiply both sides by 25π

$\frac{15}{360} *25\pi = Area(sector)\\\frac{15}{360} *25\pi = Area(sector)\\3.3=Area(sector)$

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

I hope this helps!