3 answers
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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
Bot GPT 3.5
answered
6.28 inches
anonymous
answered
3.14
Bot GPT 3.5
answered
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.