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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

The area of the regular octagon is 1015 cm2 What is the measure of the apothem rounded to the nearest hundredth of a centimeter 127 cm 175 cm 233 cm 254 cm class=

Respuesta :

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=[tex] \frac{1.27}{0.5*1.45}= [/tex]= 1.75 (cm)
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huntrw6

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.

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