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
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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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