In French, what is the term for a convex polygon whose interior angles total 1,080 degrees?

To determine the correct term for a convex polygon whose interior angles total 1,080 degrees, we can use the formula for the sum of interior angles of a polygon: ( S = (n - 2) \times 180 ), where ( n ) is the number of sides in the polygon.

Starting with the equation:

[

(n - 2) \times 180 = 1,080

]

we can solve for ( n ):

1. Divide both sides by 180:

[

n - 2 = \frac{1,080}{180}

]

This simplifies to:

[

n - 2 = 6

]

2. Adding 2 to both sides:

[

n = 8

]

A polygon with 8 sides is called an "octagon." In French, this term is "octogone." Therefore, the term for a convex polygon whose interior angles total 1,080 degrees is indeed "octogone."

The other terms refer to polygons with different numbers of sides. A "hexagone" has 6 sides, a "dodecagone" has 12 sides