Question

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

Answer 1

3.75π or 11.780972451

Explanation:

Equation = 0/360 x 2πr

75/360 x 2π9

Solve

3.75π or 11.780972451

Answer 2

The answer is 11.78ft

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