A semi circle, r=1, is bisected by a chord parallel to the base so the segment above the chord is...

[blamocur]

I miss "Click & Clack, the Tappet Brothers". ?

Who doesn't! I remember listening to them when they were purely local feature, before becoming national celebrities.

 

[khansaheb]

Yes it is correct but k is an irrational number and cannot be expressed by any fraction, therefore there will never be a 100% accurate answer sadly. I’ve always wondered if k has a direct link to Pi?

One of the input data you had, involves π - which according to you is inaccurate.

Why do you expect accurate answer using inaccurate data?

 

[henrygreenall123]

What did you not understand in post#7?

Your equation makes perfect sense, but how did you find 0.4039 as an approximation (which is correct). What did you use?

 

[khansaheb]

Your equation makes perfect sense, but how did you find 0.4039 as an approximation (which is correct). What did you use?

Did you try using Newton's Method?

 

[BigBeachBanana]

Your equation makes perfect sense, but how did you find 0.4039 as an approximation (which is correct). What did you use?

I used numerical approximation (mentioned in post#7).