Question

The measure of central angle XYZ is 1.25 radians.

Circle Y is shown. Line segments X Y and Z Y are radii. The length of X Y is 8. The major angle of X Y Z is shaded.

What is the area of the shaded sector?


10 units2
20 units2
40 units2
80 units2

Answer 1

Answer:

40 units2 or c

Step-by-step explanation:

Answer 2

The area of the shaded sector is 70.7 units²

What is a circle?

A circle is the locus of a point such that its distance from a fixed point known as center is always constant.

From circle Y, central angle of the shaded sector = 1.25π rads

Area of the sector = (1/2) * radius² * radian = (1/2) * 8² * 1.25π = 70.7 units²

The area of the shaded sector is 70.7 units²

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