Answer:
The area of the sector is 
.
Step-by-step explanation:
We have,
Radius of circle is 15 cm
Central angle is 
It is required to find the area of the sector. The formula used to find the area of sector is given by :
Plugging all the values in above formula as :
So, the area of the sector is .
It’s the 3rd answer choice
- The area of the circle is:
A=πr²
A is the area of the circle.
π=3.14
r is the radius of the circle.
- To calculate the area of <span> the sector indicated in the problem, you must apply the following formula:
As=(</span>θ/2π)πr²
As is the area of the sector.
θ is the central angle (θ=2π/9)
π=3.14
r is the radius.
- First, you must find the radius:
r=Diameter/2
r=20.6 mm/2
r=10.3 mm
- Now, you can substitute the values into the formula As=(θ/2π)πr². Then, you have:
As=(θ/2π)πr²
As=(2π/9/2π)(π)(10.3)²
As=(π/9π)(π)(10.3)²
As=(3.14/9x3.14)(3.14)(10.3)²
- Finally, the area of the sector is:
As= 37.01 mm²
