The radius of the given circle is 6 cm and 0=60% , that is, pi/3
The area of shaded region needs to be found.
To find the area of the shaded region, we first need to find the area of the entire circle and then subtract the area of the sector with angle 60 degrees.
The area of a circle is calculated using the formula A = πr^2, where r is the radius of the circle.
Given that the radius of the circle is 6 cm, the area of the entire circle is:
A = π(6)^2
A = 36π cm^2
To find the area of the sector with angle 60 degrees, we use the formula for the area of a sector of a circle, which is (θ/360) * πr^2, where θ is the angle in degrees and r is the radius of the circle.
The area of the sector with angle 60 degrees is:
(60/360) * π(6)^2
1/6 * 36π
6π cm^2
To find the area of the shaded region, we subtract the area of the sector from the area of the entire circle:
Area of shaded region = 36π - 6π
Area of shaded region = 30π cm^2
Therefore, the area of the shaded region is 30π square centimeters.