# To the nearest square unit what is the area of the regular octagon shown below

###### Question:

## Answers

1086 square units

Step-by-step explanation:

1395 square units. Used a website that auto completes it.

*C* 94 Units or *A* 63 Units

Step-by-step explanation:

i dont know which one you are talking about but if you see that answer, there you go : )

[tex]\text{Hence, area of regular octagon is }1395 units^2[/tex]

Option B is correct.

Step-by-step explanation:

Given a regular octagon with edge length 17 units and length of perpendicular from centre 20.52 units.

we have to find the area of octagon.

As regular octagon divides into 8 triangles of equal area.

[tex]\text{Area of triangle AOB=}\frac{1}{2}\times AB\times 17[/tex]

[tex]\text{area of triangle AOB=}\frac{1}{2}\times 17\times 20.52=\frac{348.84}{2}[/tex]

[tex]\text{area of regular octagon=}8\times ar(AOB)[/tex]

[tex]Area=8\times\frac{348.84}{2}[/tex]

[tex]Area=1395.36 units^2\sim 1395 units^2[/tex]

[tex]\text{Hence, area of regular octagon is }1395 units^2[/tex]

Option B is correct.

[tex]To the nearest square unit, what is the area of the regular octagon shown below?[/tex]

the answer is A

Step-by-step explanation:

Look at the picture.

[tex]A_\Delta=\dfrac{15\cdot18.1}{2}=\dfrac{271.5}{2}=135.75[/tex]

Area of the regular octagon:

[tex]A=8\cdot A_\Delta\to A=8\cdot135.75=1086[/tex]

1086 square units.

[tex]To the nearest square unit, what is the area of the regular octagon shown below[/tex]

A) 2341 square units

Step-by-step explanation:

Area of a regular polygon= 1/2*perimeter*apothem

Perimeter=22*8=176 units

Apothem=26.6 units

Thus:

A=1/2*176*26.6

A=88*26.6

A=2340.8

So the area of the regular octagon rounded to the nearest square unit is 2341 units^2, aka. Option A

B. 1395 square units.

Step-by-step explanation:

We have been given an octagon. We are asked to find the area of the given regular octagon.

[tex]\text{Area of octagon}=\frac{a\cdot p}{2}[/tex], where,

a = Apothem,

p = Perimeter.

Let us find apothem of octagon by multiplying 17 by 8.

[tex]\text{Perimeter}=8\times 17[/tex]

[tex]\text{Perimeter}=136[/tex]

Upon substituting our given values in area formula, we will get:

[tex]\text{Area of octagon}=\frac{20.52\times 136}{2}[/tex]

[tex]\text{Area of octagon}=\frac{2790.72}{2}[/tex]

[tex]\text{Area of octagon}=1395.36\approx 1395[/tex]

Therefore, the area of our given octagon is 1395 square units.

A=2(1+√2)[tex]a^{2}[/tex]

A=2(1+√2)*[tex]15^{2}[/tex]

A≈1086.4

The answer is A.

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Step-by-step explanation: a p e x