Circle K has a diameter of 24 inches. Find the exact length of semicircle HJI. In your final answer, include all of your calculations.

Question

Mathematics

Peter

20 July, 10:26

Circle K has a diameter of 24 inches. Find the exact length of semicircle HJI. In your final answer, include all of your calculations.

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Answers (1)

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Melody Madden · Answer 1

A semicircle's perimeter is half the perimeter of the complete circle.

The perimeter of the complete circle is its circumference which is found by the equation: πD.

Then the equation of the perimeter of the semicircle is πD/2

In this case D = 24 in, then the perimeteir is π (24in/2) = 12π in ≈ 37.7 in

Answer: The exact length is 12π inches and the approximate length is 37.7 inches