According to the given information, a circle with a radius of 10 cm subtends an angle of 120° at the center. The task is to find the area of the corresponding sector.
To find the area of a sector, we can use the formula:
Area of sector = (angle/360) π r²
Substituting the given values into the formula:
Area of sector = (120/360) π (10 cm)²
Simplifying the equation:
Area of sector = (1/3) π 100 cm²
Therefore, the area of the corresponding sector is (1/3) π 100 cm².