The formula for the area of a regular polygon is? What is the equation solved for a?
The area is the amount of space occupied by a 2-d shape and the area of any surface is always measured in the unit square.
Answer: The formula for the area of a regular polygon is, A = (a × p)/2, and the equation solved for a is, a = (2 × A)/p, where a is the apothem and p is the perimeter of the regular polygon.
Let's see the solution step by step.
Area, A = (a × p) / 2
a = the apothem of a polygon (The apothem of a regular polygon is a line segment from the center to the midpoint of one of its sides)
p = the perimeter of a polygon
We use the above formula for deriving the formula for a,
A = (a × p) / 2
A × 2 = a × p
a = (2 × A)/p