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Point P is the center of the circle below. What is the exact area
of the shaded sector in terms of pi?

A. 1671 pie units
B. 4877 pi units
C. 1207 pi units
D. 1921 pi units

NEED ANSWER Please, check the picture

Point P is the center of the circle below What is the exact area of the shaded sector in terms of pi A 1671 pie units B 4877 pi units C 1207 pi units D 1921 pi class=

Respuesta :

MrRoyal

Answer:

[tex]Area =192\pi[/tex]

Step-by-step explanation:

Given

[tex]\theta = 120^o[/tex]

[tex]r =24[/tex]

Required

The area of the shaded sector

This is calculated as:

[tex]Area =\frac{\theta}{360} * \pi r^2[/tex]

This gives

[tex]Area =\frac{!20}{360} * \pi *24^2[/tex]

[tex]Area =\frac{1}{3} * \pi *576[/tex]

[tex]Area =\pi *192[/tex]

[tex]Area =192\pi[/tex]

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