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What is the area of a sector with a central angle of 8π11 radians and a radius of 7. 2 ft? Use 3. 14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box.

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Answer:

The area of the sector will be 59.19 ft². The area of a circle's sector is the portion of the area encompassed inside the sector's perimeter.

What is an area of the sector?

The area of a circle's sector is the amount of space encompassed inside the sector's perimeter. The origin of a sector is always the circle's center.

The region of a circle encompassed by its two radii and the arc connecting them is known as the sector of a circle.

The area of a circle is found as;

A = πr²

A = π(7.2 ft)²

A = 162.78 ft²

The area of the sector is the ratio of the provided slope to the angle of the complete circle which is similar to 2π;

\rm A_S= (162.78 )\times \frac{8\pi }{11 \times 2\pi} = 59.19 \ ft^2

Hence the area of the sector will be 59.19 ft².

To learn more about the area of the sector refer to the link;

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