Question

What is the area of a sector with a central angle of 2π/9 radians and a radius of 16.7 ft?

Answer 1

First, we determine the area of the whole circle that can be calculated through the equation,
A = πr²
Substituting,
A = π(16.7 ft)² = 278.89π ft²
Then, we multiply the area obtained by the ratio of the given angle to the whole revolution.
Area of the sector = ((2π/9)/2π) x 278.89π ft²
= 30.99π ft²
Thus, the area of the sector is approximately 30.99π ft².