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Answered

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[HELP!!]
A circle has a radius of 6 ft.

What is the area of the sector formed by a central angle measuring 5π3 radians?

Use 3.14 for pi.

Sagot :

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Answer:

[tex]\sf area \ of \ sector = 94.25 \ ft^2[/tex]

Explanation:

[tex]\sf area \ of \ sector = \frac{1}{2} r^2 \theta[/tex]

using the formula:

[tex]\hookrightarrow \sf area \ of \ sector = \frac{1}{2} r^2 \theta[/tex]

[tex]\hookrightarrow \sf area \ of \ sector = \frac{1}{2} (6)^2 (\frac{5\pi }{3} )[/tex]

[tex]\hookrightarrow \sf area \ of \ sector = 30\pi[/tex]

[tex]\hookrightarrow \sf area \ of \ sector = 30(3.14)[/tex]

[tex]\hookrightarrow \sf area \ of \ sector = 94.25 \ ft^2[/tex]

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