Answer: The formula for the area of a shaded segment of a circle can be calculated using the following steps:
1. Determine the area of the sector formed by the central angle of the segment. The formula for the area of a sector is (θ/360) x πr^2, where θ is the central angle in degrees and r is the radius of the circle.
2. Calculate the area of the triangle formed by the radii of the sector and the chord of the segment. This can be done using the formula 0.5 x r x r x sin(θ), where r is the radius of the circle and θ is the central angle in radians.
3. Subtract the area of the triangle from the area of the sector to obtain the area of the shaded segment.
By following these steps and using the appropriate formulas, you can accurately calculate the area of the shaded segment of a circle.
