To find the area of a circle sector, you can follow these steps:
1. First, find the measure of the central angle (θ) of the sector in degrees. This is the angle formed at the center of the circle by the two radii that define the sector.
2. Next, find the area of the entire circle using the formula for the area of a circle:
Area of a circle = πr^2 where r is the radius of the circle.
3. Calculate the fraction of the circle that the sector represents by dividing the central angle (in degrees) by 360 degrees. This will give you the fraction of the circle's area that the sector covers.
4. Finally, find the area of the sector by multiplying the fraction of the circle's area by the total area of the circle:
Area of sector = (θ/360) * πr^2
By following these steps, you can find the area of a circle sector when you know the central angle and the radius of the circle.
