Problem 51102. Round the chord length!!

Created by Fatima Abdulla HCT2021

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If a circle has a diameter of x and a circumference of y find the chord length which is Z and round it to 3 decimal places. 

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Last Solution submitted on May 02, 2024

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ChrisR on 22 Mar 2021

Hello Fatima Abdullah HCT 2021,

I interpreted circumference y as arclength and computed the length of the chord subtending the angle. I get 0.841 for the first test. Please check the angle in your code. As it is written, it is not dimensionless.

Fatima Abdulla HCT2021 on 22 Mar 2021

Hello ChrisR!

Just use the chord length formula using trigonometry and then the rounding command. That's it!

Fatima Abdulla HCT2021 on 22 Mar 2021

I added extra test suite. You can check them.

William on 22 Mar 2021

I have to agree with ChrisR. None of the answers are correct. The first two answers are using the diameter as if it were the radius when calculating the angle. I don't know what the third one has done.

Fatima Abdulla HCT2021 on 22 Mar 2021

I will give you a hint! go ahead and google Chord Length Using Trigonometry. You will easily answer the question!

ChrisR on 22 Mar 2021

Fatima, your solution takes the angle (i.e., half of the angle of the chord) as y/2. If the arclength is y and the radius is x/2, then the full angle is y/(x/2), and half of the angle is y/x.

By "circumference", do you mean the angle measured in radians?

Fatima Abdulla HCT2021 on 24 Mar 2021

Yes in radians.

Dyuman Joshi on 24 Apr 2021

@Fatima, mention it in the problem statement as it is quite ambiguous

Ramon Villamangca on 3 Sep 2021

HI Fatima, I think the correct term is "central angle" instead of circumference.

Rafael S.T. Vieira on 5 Nov 2022

As I've said in one of your previous problems, Fatima. Human language is imprecise. It would help if you replaced the noun circumference with the noun central angle. It was probably a translation problem; however, if you had drawn a sketch, no one would have had any doubts about what you meant. Or use an example if you don't like to sketch.

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Problem 51102. Round the chord length!!

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Problem 51102. Round the chord length!!

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