Regular n-gon

Which regular polygon have a radius of circumscribed circle r = 10 cm and the radius of inscribed circle p = 9.962 cm?

Correct answer:

n =  36

Step-by-step explanation:

R=10 cm r=9.962 cm q=r/R=9.962/10=0.9962 r35=1/tan(π/35)=1/tan(3.1416/35)11.1109 R35=1/sin(π/35)=1/sin(3.1416/35)11.1558 q35=r35/R35=11.1109/11.15580.996 r36=1/tan(π/36)=1/tan(3.1416/36)11.4301 R36=1/sin(π/36)=1/sin(3.1416/36)11.4737 q36=r36/R36=11.4301/11.47370.9962 r37=1/tan(π/37)=1/tan(3.1416/37)11.7491 R37=1/sin(π/37)=1/sin(3.1416/37)11.7916 q37=r37/R37=11.7491/11.79160.9964 q36=q=0.9962 n=36



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
The Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: