[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.

asked Sep 9, 2023 169k views

7 votes

[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.

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Answer:

$\sf area \ of \ sector = 94.25 \ ft^2$

Step-by-step explanation:

$\sf area \ of \ sector = (1)/(2) r^2 \theta$

using the formula:

$\hookrightarrow \sf area \ of \ sector = (1)/(2) r^2 \theta$

$\hookrightarrow \sf area \ of \ sector = (1)/(2) (6)^2 ((5\pi )/(3) )$

$\hookrightarrow \sf area \ of \ sector = 30\pi$

$\hookrightarrow \sf area \ of \ sector = 30(3.14)$

$\hookrightarrow \sf area \ of \ sector = 94.25 \ ft^2$

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