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

2 Answers
Jun 8, 2018

#1800# degrees

Explanation:

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!

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

#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^@#