Find the area of sector BOD 15 in and 130 degrees
To find the area of sector BOD, we first need to find the area of the whole circle and then multiply it by the fraction of the circle represented by the angle of sector BOD.
The formula for the area of a sector is:
Area of sector = (θ/360) * π * r^2
Where:
θ = angle of the sector in degrees (130 degrees in this case)
r = radius of the circle (given to be 15 in this case)
Area of sector = (130/360) * π * 15^2
Area of sector = (13/36) * π * 225
Area of sector = 13/36 * 225 * π
Area of sector ≈ 254.469 square units
Therefore, the area of sector BOD is approximately 254.469 square units.