C. 25π/3 cm²
Step-by-step explanation:
The sector is an area of a circle bounded by two radii. The formula for determining the area of a sector is expressed as
Area of sector = θ/360 × πr²
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Radius, r = 10 cm
θ = 30 degrees
Therefore,
Area of sector = 30/360 × π × 10²
= 3000π/360 = 25π/3 cm²