Mathematics

Grade9

Easy

Question

# Find the area of the regular octagon.

- 565
- 600
- 696
- 740

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 area of the given polygon.

## The correct answer is: 696

### In the question there is a polygon as shown in the figure.

Here, we have to find the area of the given polygon.

From the given figure we can say that,

Length of each side of the octagon= 12

Apothem= 14.49

Perimeter of the octagon= Length of each side of the octagon No. of sides

= 128

= 96

Now,

Area of the polygon=

=

= 695.52

So, the area of the given polygon is aproximately equal to 696.

Therefore, the correct option is c, i.e., 696.

A perpendicular line segment joining the centre and one of the sides of the regular polygon is called apothem of the polygon.