Find the area of a sector of a circle that has a central angle of 3π/8 and a radius of 7 cm.
To find the area of a sector of a circle, you can use the formula:
Area = (θ/2π) * π * r^2
where θ is the central angle in radians, r is the radius of the circle, and π is a constant approximately equal to 3.14159.
In this case, the given central angle is 3π/8, and the radius is 7 cm.
Let's plug these values into the formula and calculate the area:
Area = ((3π/8)/(2π)) * π * (7 cm)^2
= (3/8) * π * 49 cm^2
= (3/8) * 49π cm^2
= 147π/8 cm^2
Therefore, the area of the sector is 147π/8 square centimeters.
area=sectorangle*radiusSquared
=3PI/8 * 7^2 cm^2