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Tju [1.3M]
3 years ago
15

A circle with a area 9 pie has a sector with a central angle of 60 degrees

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
4 0

Answer:

4.71 square units

Step-by-step explanation:

central \:  \angle \: ( \theta) = 60 \degree \\  \\ area \: of \: sector \\  =  \frac{\theta}{360 \degree }  \times area \: of \: circle \\ \\   =  \frac{60 \degree }{360 \degree }  \times 9\pi \\  \\  =  \frac{1}{6}  \times 9\pi \\  \\  = 1.5\pi \\  = 1.5 \times 3.14 \\  = 4.71 \:  {units}^{2}  \\  \\ \red{ \bold{ area \: of \: sector = 4.71\:  {units}^{2} }} \\

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