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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. 16 pie units?
B. 48 pi units?
C. 120 pi units?
D. 192pi units
NEED HELP ASAP PLEASE

Point P is the center of the circle below What is the exact area of the shaded sector in terms of pi A 16 pie units B 48 pi units C 120 pi units D 192pi units N 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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