5 results

polygon - A plane figure bounded by a set of straight lines

Find the number of polygon sides given an interior angle sum of 2700°

Formula for finding sides of a polygon given interior angle sum I:
[B][URL='https://www.mathcelebrity.com/polygon-side-calculator.php?num=2700&pl=Calculate+Sides']Formula[/URL][/B]
n = I/180 + 2
[B]Solve for n when I = 2700[/B]
n = 2700/180 + 2
n = 15 + 2
n = [B]17
[MEDIA=youtube]MlhulFxUzXY[/MEDIA][/B]

Janice says that the sum of the measures of the interior angles of an octagon is 900°. Is Janice cor

Janice says that the sum of the measures of the interior angles of an octagon is 900°. Is Janice correct? Why or why not?
She's [B]incorrect.
[/B]
The interior angle sum for a polygon is found with this formula:
Interior Angle Sum = (sides - 2) x 180°
Since an octagon has 8 sides, we have:
Interior Angle Sum = (8 - 2) x 180°
Interior Angle Sum = 6 x 180°
Interior Angle sum = 1080°

Pick's Theorem

Free Pick's Theorem Calculator - This calculator determines the area of a simple polygon using interior points and boundary points using Pick's Theorem

Polygon Side

Free Polygon Side Calculator - Determines the sides of a polygon given an interior angle sum.

Polygons

Free Polygons Calculator - Using various input scenarios of a polygon such as side length, number of sides, apothem, and radius, this calculator determines Perimeter or a polygon and Area of the polygon.
This also determines interior angles of a polygon and diagonals of a polygon as well as the total number of 1 vertex diagonals.