Find the sum of the measures of the interior angles of an octagon

omgespit9q
2022-10-11
Answered

Find the sum of the measures of the interior angles of an octagon

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bigfreakystargl

Answered 2022-10-12
Author has **23** answers

To calculate the sum of the interior angles of a polygon in general use.

$\overline{\underline{\left|{\frac{a}{a}}{{180}^{\circ}(n-2)}{\frac{a}{a}}\right|}}$

where n represents the number of sides of the polygon.

For an octagon with 8 sides, n = 8

$\Rightarrow \text{sum of interior angles}={180}^{\circ}\times (8-2)$

$={180}^{\circ}\times 6={1080}^{\circ}$

$\overline{\underline{\left|{\frac{a}{a}}{{180}^{\circ}(n-2)}{\frac{a}{a}}\right|}}$

where n represents the number of sides of the polygon.

For an octagon with 8 sides, n = 8

$\Rightarrow \text{sum of interior angles}={180}^{\circ}\times (8-2)$

$={180}^{\circ}\times 6={1080}^{\circ}$

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The data points to be used were

The linear equation used was of the form:

and the polynomial of the form

was determined to have the coefficients

I am not aware of how I would use a system of linear equations to determine Q(x). Is it perhaps possible to derive the coefficients from p2? Or is there some other method of interpolation I should pursue?

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