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The measure of central angle XYZ is 3pi/4 radians. What is the area of the shaded sector? 32pi units...
4 months ago
Q:
The measure of central angle XYZ is 3pi/4 radians. What is the area of the shaded sector? 32pi units285 ..96 ..256 ..
Accepted Solution
A:
Answer:96π units²Step-by-step explanation:area of shaded sector (A) = area of circle × fraction of circleA = πr² × [tex]\frac{\frac{3\pi }{4} }{2\pi }[/tex] = 16² × [tex]\frac{3\pi }{8}[/tex] = 256 × [tex]\frac{3\pi }{8}[/tex] = 32 × 3π = 96π units²