Answer:
D. [tex] \frac{525\pi}{8} [/tex] m²
Step-by-step explanation:
Area of the sector = ½*r²∅
Where,
Radius (r) = 15 m
Angle in radians (∅) = [tex] \frac{7\pi}{12} [/tex]
Plug in the values into the equation
Area of sector = [tex] \frac{1}{2} * 15^2 * \frac{7\pi}{12} [/tex]
Area of sector = [tex] \frac{1}{2} * 225 * \frac{7\pi}{12} [/tex]
Area of sector = [tex] \frac{1*225*7\pi}{2*12} [/tex]
Area of sector = [tex] \frac{1,575\pi}{24} [/tex]
Simplify
Area of sector = [tex] \frac{525\pi}{8} [/tex]
