Question

The area of the regular octagon is 10.15 cm2.

What is the measure of the apothem, rounded to the nearest hundredth of a centimeter?

1.27 cm
1.75 cm
2.33 cm
2.54 cm

Answer 1

The correct answer is:

B. 1.75 cm

The measure of the apothem, rounded to the nearest hundredth of a centimeter is 1.75 cm.

`|Huntrw6|`

Answer 2

1. Consider the figure attached.

2. The octagon can be divided into 8 congruent (identical) isosceles triangles. One of them is AOB.

3. Area(triangle AOB)=10.15/8=1.27 (cm squared)

4. Area(triangle AOB) is also 1/2*MO*AB

so 1.27=1/2*MO*1.45
MO=
`(1.27)/(0.5*1.45)=`= 1.75 (cm)