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andrew11 [14]
3 years ago
13

A circle with radius 3 has a sector with a central angle of 60. What is the area of the sector?

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
5 0

Step-by-step explanation:

central \:  \angle \: ( \theta) = 60 \degree \\ radius \: (r) = 3 \: units \\  \\ area \: of \: sector   \\ =  \frac{ \theta}{360 \degree}  \times \pi {r}^{2}  \\  \\  = \frac{ 60 \degree}{360 \degree}  \times 3.14 \times  {(3)}^{2}   \\  \\  = \frac{ 1}{6}  \times 3.14 \times 9 \\  \\  = 3.14 \times 1.5 \\ \\   = 4.71 \:  {units}^{2}  \\  \\  \purple{ \bold{area \: of \: sector  = = 4.71 \:  {units}^{2}}}

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