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.

Enter your answer as a decimal in the box.

94.2 ft²

Step-by-step explanation:

I'm assuming that 5π3 is in fact 5π/3

convert radian to degrees:

5π / 3 = 5(180°) / 3 = 900° / 3 = 300°

Area of the circle = π r²

A = 3.14 * (6 ft)²

A = 3.14 * 36 ft²

A = 113.04 ft²

Area of the sector:

113.04 ft²  * 300°/360° = 94.2 ft²

The area of the sector formed by a central angle measuring 5π/3 radian is 94.2 ft²

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step-by-step explanation:

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