If the apothem of a square measures 5 cm, find the perimeter of the square.
To find:
The perimeter of the square.
Approach:
1) Any radius of a regular polygon bisects the angle at the vertex to which it is drawn.
2) Any apothem of a regular polygon bisects the side of the polygon to which it is drawn.
3) The perimeter of a regular polygon is given by ns, where n is the number of sides and s is the length of any side.
Calculation:
Consider a square ABCD with OA as radius and OE as apothem.
It is given that the length of apothem is 5 cm i.e., OE = 5cm.
All the angles of a square are of 90° i.e.,
Any radius of a regular polygon bisects the angle at the vertex to which it is drawn
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