# What is the total degrees of a 12-sided polygon?

Jun 8, 2018

$1800$ degrees

#### Explanation:

The degrees of a n-sided polygon is given by the expression

$180 \left(n - 2\right)$

Where $n$ is the number of sides. We can plug in $12$ for $n$ to get

$180 \left(12 - 2\right) = 180 \left(10\right) = \textcolor{b l u e}{1800}$

Therefore, there are $1800$ degrees in a $12$-sided polygon.

Hope this helps!

Jun 8, 2018

color(purple)("Sum of exterior angles " = (2 * 12 - 4) (pi/2) = 10pi^c = 1800^@

#### Explanation:

Sum of the exterior angles of a regular polygon is

$2 {\pi}^{c} \text{ or } {360}^{\circ}$

Sum of the exterior angles of a regular polygon is

$3 n - 4 \text{ right angles } \mathmr{and} \left(2 n - 4\right) \cdot {\left(\frac{\pi}{2}\right)}^{c} = \left(2 n - 4\right) \cdot {90}^{\circ}$

Since it's a 12 sided polygon,

$\text{Sum of exterior angles } = \left(2 \cdot 12 - 4\right) \left(\frac{\pi}{2}\right) = 10 {\pi}^{c} = {1800}^{\circ}$