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Mathematics
Grade9
Easy
Question
The area of a regular octagon is 695.3 square cm, and the sides are 12 cm. What is the length of the apothem?
17.2
14.5
13.9
12.6
Hint:
Polygon is a two- dimensional closed figure which is made up of three or more line segments. Each polygon has its own properties based on the number of sides. Area of a regular polygon can be determined using the formula . Here, we have to find the apothem of the given polygon using the area formula.
The correct answer is: 14.5
In the question it is given that, Area of a regular octagon= 695.3 square cm Length of each side= 12 cm Here, we have to find the length of the apothem. Perimeter of the polygon = Length of each side × No. of sides =12×8 = 96 Now, Area of the polygon = 695.3 =×96× Apothem = =14.5 So, the length of the apothem of the polygon is 14.5. Therefore, the correct option is b, i.e., 14.5.