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

A. 1086 Square Units
B. 543 Square Units
C. 272 Square Units
D. 2172 Square Units

To the nearest square unit what is the area of the regular octagon shown below A 1086 Square Units B 543 Square Units C 272 Square Units D 2172 Square Units class=

Respuesta :

A=2(1+√2)[tex] a^{2} [/tex]

A=2(1+√2)*[tex] 15^{2} [/tex]

A≈1086.4

The answer is A.

Area of the regular octagon is 1086 square units.

What is area of octagon?

The area of octagon is defined as the total amount of area that is enclosed by all octa(eight) sides of the octagon.

Given

a  = 15 units

Area of the regular octagon = [tex]2a^{2} (1+\sqrt{2})[/tex]

A = [tex]2(15)^{2} (1+\sqrt{2})[/tex]

A = [tex]2 \times 225\times (1+1.414)[/tex]

A = [tex]1086.3[/tex]

A ≅ [tex]1086 \ unit^{2}[/tex]

Area of the regular octagon is 1086 square units.

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