What is the area of a sector with a central angle of 2pi/9 radians and a diameter of 20.6mm? Use 3.14 for Ali and round your answer to the nearest hundredth.
Accepted Solution
A:
- 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 the sector indicated in the problem, you must apply the following formula:
As=(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: