Question

[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.

Answer 1

`\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`