Formula of calculating the area of the shaded segment

Answer 1

The formula for calculating the area of a shaded segment (also known as a sector) of a circle is given by:

Area = (θ/360) x π x r^2

Where:
- θ is the central angle of the segment (in degrees)
- π is a constant approximately equal to 3.14159
- r is the radius of the circle

To calculate the angle θ, use the formula:
θ = 360 x (S / C)
Where:
- S is the arc length of the segment
- C is the circumference of the circle

Once you have calculated θ, plug it into the first formula along with the radius to find the area of the shaded segment.