Question

Find the area of a regular octagon whose apothem measures 7 cm and whose side measures 7.5cm

Answer 1

Step-by-step explanation:

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Answer 2

Area of the octagon is 210 cm²

Given:

The measurement of apothem = 7 cm

The measurement of Side of the octagon = 7.5 cm

To find:

The area of a regular octagon

Solution:

Apothem is a line segment which is drawn from center to midpoint of the sides it makes 90° with the side of the polygon.

The formula for the area of the polygon with Apothem is given by

      Area of Polygon = n $(\frac{1}{2})$ side × Length of Apothem                    

Where n = Number side = 8

Therefore, area of octagon = $8(\frac{1}{2} )(7.5)(7)$  

                                             = 4(7.5)(7) = 210 cm²

⇒ Area of the octagon = 210 cm²  

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