Question

The measure of central angle XYZ is (1.25 π) radians. What is the area of the shaded sector?

a) (10 πunits^2)
b) (2020units^2)
c) (407units^2)
d) (80 πunits^2)

Answer 1

The area of the shaded sector cannot be determined without knowing the radius of the circle. The formula A = 1/2 r^2 θ requires the radius to calculate the sector's area.

Step-by-step explanation:

To calculate the area of the shaded sector formed by the central angle XYZ of (1.25 π) radians, we need to know the radius of the circle. However, this information is not provided in the question. Assuming we had the radius r, the formula for the area of a sector of a circle, given the central angle in radians, is A = ½ r^2 θ, where θ is the central angle in radians. Without the radius, we cannot accurately determine the area of the shaded sector and thus cannot choose the correct answer from the options provided.