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Alexxandr [17]
3 years ago
14

Find the area of each sector.

Mathematics
1 answer:
sergey [27]3 years ago
5 0

Answer:

D. \frac{525\pi}{8} m²

Step-by-step explanation:

Area of the sector = ½*r²∅

Where,

Radius (r) = 15 m

Angle in radians (∅) = \frac{7\pi}{12}

Plug in the values into the equation

Area of sector = \frac{1}{2} * 15^2 * \frac{7\pi}{12}

Area of sector = \frac{1}{2} * 225 * \frac{7\pi}{12}

Area of sector = \frac{1*225*7\pi}{2*12}

Area of sector = \frac{1,575\pi}{24}

Simplify

Area of sector = \frac{525\pi}{8}

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