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

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Answer 1 · 2018-06-08T03:14:49

$1800$ degrees

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

$180(n-2)$

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

$180(12-2)=180(10)=color(blue)(1800)$

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

Hope this helps!

Answer 2 · 2018-06-08T03:58:48

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

Sum of the exterior angles of a regular polygon is

$2pi^c " or " 360^@$

Sum of the exterior angles of a regular polygon is

$3n -4 " right angles " or (2n -4 )* (pi/2)^c = (2n-4) * 90^@$

Since it's a 12 sided polygon,

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