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The measure of central angle XYZ is StartFraction 3 pi Over 4 EndFraction radians. What is the area of the shaded sector? 32Pi units squared 85 96Pi units squared 256Pi units squared

User Eskaev
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2 Answers

0 votes

Answer:

96π units²

Explanation:

User Kamalanathan
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2 votes

Answer:

96π units²

Explanation:

Find the diagram attached

Area of a sector is expressed as;

Area of a sector = θ/2π * πr²

Given

θ = 3π/4

r = 16

Substitute into the formula

area of the sector = (3π/4)/2π * π(16)²

area of the sector = 3π/8π * 256π

area of the sector = 3/8 * 256π

area of the sector = 3 * 32π

area of the sector =96π units²

The measure of central angle XYZ is StartFraction 3 pi Over 4 EndFraction radians-example-1
User Ravid Goldenberg
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