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#2: Post edited
by
Razetime
·
2020-10-20T09:15:01Z (about 4 years ago)
- The area of a cyclic quadriateral, given the side lengths, is given as follows:
- $$
- \sqrt{(s-a)(s-b)(s-c)(s-d)}
- $$
- (Brahmagupta's formula)
- Where \$
- s = \frac{a+b+c+d}{2}.
- \$
I want to find a similar expression, or a way of formulating an expression for a [cyclic \$n-gon\$](https://en.wikipedia.org/wiki/Circumscribed_circle#Cyclic_n-gons), since I want to implement it in a program.
- The area of a cyclic quadriateral, given the side lengths, is given as follows:
- $$
- \sqrt{(s-a)(s-b)(s-c)(s-d)}
- $$
- (Brahmagupta's formula)
- Where \$
- s = \frac{a+b+c+d}{2}.
- \$
- I want to find a similar expression, or a way of formulating an expression for a [cyclic \$n-gon\$](https://en.wikipedia.org/wiki/Circumscribed_circle#Cyclic_n-gons) given it's sides, since I want to implement it in a program.
#1: Initial revision
by
Razetime
·
2020-10-20T08:40:27Z (about 4 years ago)
Method to calculate the area of a cyclic n-gon
The area of a cyclic quadriateral, given the side lengths, is given as follows:
$$
\sqrt{(s-a)(s-b)(s-c)(s-d)}
$$
(Brahmagupta's formula)
Where \$
s = \frac{a+b+c+d}{2}.
\$
I want to find a similar expression, or a way of formulating an expression for a [cyclic \$n-gon\$](https://en.wikipedia.org/wiki/Circumscribed_circle#Cyclic_n-gons), since I want to implement it in a program.