find the area of a sector contained within a circle whose diameter is 35.2 cm and has a central angle of 40 degree
First, we need to find the radius of the circle:
r = d/2 = 35.2/2 = 17.6 cm
The formula for the area of a sector is:
A = (θ/360)πr^2
where θ is the central angle in degrees.
Substituting the given values, we get:
A = (40/360)π(17.6)^2
A = (1/9)π(17.6)^2
A ≈ 104.9 cm²
Thus, the area of the sector is approximately 104.9 cm².