Question

A circle with radius 4 inches has a central angle of 45°. What is the length of the inscribed arc? Round your answer to the nearest tenth, if necessary. [Hint: Convert the angle measure to radians.]

(1 point)
Responses

1.57 inches
1.57 inches

3.14 inches
3.14 inches

4.19 inches
4.19 inches

6.28 inches

Answer 1

[AI-generated answer — Bot GPT 3.5]

6.28 inches

Answer 2

3.14

Answer 3

[AI-generated answer — Bot GPT 3.5]

The correct answer is 3.14 inches. Since the central angle is 45°, in radians it is (45° / 180°) * π = π/4. The formula for the length of the inscribed arc is s = rθ, where r is the radius (4 inches) and θ is the central angle in radians (π/4).

Therefore, s = 4 * π/4 = π ≈ 3.14 inches. So, 3.14 inches is the correct answer.