Question

Please help.

A circle has a diameter of 18 inches. A central angle of 75° intercepts an arc of the circle. What is the intercepted arc length to the nearest tenth of an inch?

A.) 2.08 inches

B.) 3.8 inches

C.) 11.8 inches

D.) 23.6 inches

Answer 1

• C.) 11.8 inches

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Given

• A circle with diameter d = 18 in,
• Central angle θ = 75°.

To find

• The length of the given arc

Solution

Use arc length formula:

• s = πdθ/360

Substitute the values and calculate:

• s = 3.14 * 18 in * 75°/360° = 11.8 in (rounded)

The matching answer choice is C.