Question

Could you help me out

Answer 1

360 times 2300= 120089

Answer 2

we can do a triangle to solve the apothem

the upper angle is equal to 360 divided by 8 since 360 ​​is a complete turn and an octagon is composed of 8 equal triangles, so is 45

now we take a triangle from the triangle to apply trigonometric ratios and solve a

the upper angle of the new triangle is the half of the original so is 45/2

now i will use the trigonometric ratio of tangent

`\tan (\alpha)=(O)/(A)`

where alpha is the angle, O the opposite side drom the angle and a the adjacent side from the angle

so replacing

`\tan ((45)/(2))=(3.5)/(a)`

and solve for a

`\begin{gathered} a=(3.5)/(\tan ((45)/(2))) \\ \\ a\approx8.4 \end{gathered}`

the aphotem is 8.4

and the formula of the area of the octagon is

`A=4* a* l`

where a is the aphotem and l the measure f each side so 7

replacing

`\begin{gathered} A=4*8.4*7 \\ A=235.2 \end{gathered}`

the area is 235.2 square units