3. find the length of the arc on a circle of radius r = 9 feet intercepted by a central angle 0 = 75°. round your answer to two decimal places

The answer is 11.78ft

Step-by-step explanation:

The area for calculating the length of an arc is given as;

Theta/360° × 2πr where;

Theta = central angle = 75°

r is the radius of the circle = 9ft

Substituting the values given into the formula will give;

Length of an arc = 75/360× 2π(9)

= 75/360×18π

= 1350π/360

= 3.75πft

= 11.78ft (to 2 decimal places)

The length of the arc on the circle is 11.78ft

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answer:

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