The Cape Hatteras Lighthouse in North Carolina was constructed in 1802 and stands 210 feet tall. It is the tallest brick lighthouse in the United States and has a beacon with a 36-inch diameter that can be seen for 20 miles. What formula can you use to calculate the area of the beacon?

Lots of red herrings in this question! The beacon is circular, so you need to find the area of a circle with a diameter of 36 inches.

Area of a circle = pi x radius^2

remember radius is half the diameter!

Answer Link

sandlee09 sandlee09 · Answer 2 · 2019-07-28T02:58:46+02:00

Answer:

[tex]A = \pi r^{2}[/tex]

Area of the beacon is 1,017.88 [tex]in^{2}[/tex]

Step-by-step explanation:

Great question, it is always good to ask away and get rid of any doubts that you may be having.

Based on the information given in the question. We can only assume that the best formula that we can use to calculate the area of the beacon is the formula for the Area of a Circle. The Area of a Circle is shown in the picture attached below.

We are given the diameter of the beacon but we need the radius which is half of the diameter.

[tex]r = 36 / 2[/tex]

[tex]r = 18inch[/tex]

Now that we have the radius we can plug it into the formula and solve for the Area

[tex]A = \pi r^{2}[/tex]

[tex]A = \pi 18^{2}[/tex]

[tex]A = \pi 324[/tex]

[tex]A = 1,017.88[/tex]

Finally, we can see that the Area of the beacon is 1,017.88 [tex]in^{2}[/tex]

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