Mathematics, 16.04.2020 19:21 mariam00000w

A stop sign is a regular octagon. The standard stop sign has a 16.2 inch radius. The area of a standard stop sign is
square inches. Please round your answer to the nearest whole number

Answers: 3

Show answers

Answers

The area of standard stop sign regular octagon is 742.3 squared inches, if the standard stop sign has a 16.2 inch radius.

Step-by-step explanation:

The given is,

Radius of standard stop sign is 16.2 inch radius

Step:1

The regular octagon is equal to the 16 right angled triangle,

Angle of right angle triangle = $\frac{360}{16}$ = 22.5°

Ref attachment,

From the OAB right angle triangle,

Trigonometric ratio,

sin ∅ = $\frac{Opp}{Hyp}$

Where, ∅ = 22.5°

Hyp = Radius = 16.2 inches

Ratio becomes,

sin 22.5°= $\frac{b}{16.2}$

b = (0.374607)(16.2)

b = 6.19947 inches

Trigonometric ratio,

cos ∅ = $\frac{Adj}{Hyp}$

Where, ∅ = 22.5°

Hyp = Radius = 16.2 inches

Adj = h

Ratio becomes,

cos 22.5°= $\frac{h}{16.2}$

h = (0.9238795)(16.2)

h = 14.967 inches

Step:2

From the triangle OAC,

Area, $A = \frac{1}{2} (Height )( Base)$

Where, Height = 14.967 inches

Base = b + x = 6.19947 + 6.19947

= 12.3989 inches

From the values equation becomes,

A = $\frac{1}{2} (14.967)(12.39894)$

A = 92.7875 Squared inches

Step:3

The octagon is equal to sum of 8 triangles

Area of octagon = 8 × Area of triangle

= 8 × 92.7875

= 742.3 squared inches

Result:

The area of standard stop sign regular octagon is 742.3 squared inches, if the standard stop sign has a 16.2 inch radius.

A stop sign is a regular octagon. The standard stop sign has a 16.2 inch radius. The area of a stand

Answer from: Quest

B. 2 1/2 feet. multiply 2.5 inches by 12 to get thirty inches then divide by 12 to get 2.5 feet

Answer from: Quest

step-by-step explanation:

Another question on Mathematics

Mathematics, 20.06.2019 18:04

Which of the following is the formula for the sequence graphed below

Answers: 1

Answer

Mathematics, 21.06.2019 13:00

Amaple syrup producer records th amount of sap collected from each of his trees. the line plot shows the results for one day. what is the least amount of sap any one tree produced?

Answers: 1

Answer

Mathematics, 21.06.2019 15:00

Which sum or difference identity would you use to verify that cos (180° - ∅) = -cos ∅? a. sin (α -β) = sin α cos β – cos α sin β b. cos (α -β) = cos α cos β – sin α sin β c. cos (α -β) = cos α cos β + sin α sin β d. sin (α + β) = sin α cos β + cos α sin β

Answers: 2

Answer

Mathematics, 21.06.2019 16:30

11. minitab software was used to find the lsrl for a study between x=age and y=days after arthroscopic shoulder surgery until an athlete could return to their sport. use the output to determine the prediction model and correlation between these two variables. predictor coef se coef t p constant -5.054 4.355 -1.16 0.279 age 0.2715 0.1427 1.9 0.094 r-sq = 31.16%

Answers: 2

Answer

You know the right answer?

A stop sign is a regular octagon. The standard stop sign has a 16.2 inch radius. The area of a stand...

Questions