A circle with a area 9 pie has a sector with a central angle of 60 degrees
What is the area of the sector?
Either the exact answer in terms of 3.14 and enter your answer as a decimal

A circle with a area 9 pie has a sector with a central angle of 60 degrees What is the area of the sector Either the exact answer in terms of 314 and enter your class=

Respuesta :

Answer:

4.71 square units

Step-by-step explanation:

[tex]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} }} \\ [/tex]