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194.86 sq inches, approx.

194.86 sq inches, approx.

194.86 sq inches, approx.

194.86 sq inches, approx.
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11y ago
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194.86 sq inches, approx.

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Q: What is the area of a regular hexagon with an apothem of 7.5 in?
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Can you show that you can work out the area of a regular hexagon with a perimeter of LX inches rounding your answer to a suitable degree of accuracy?

Perimeter in inches = LX = 60. A regular hexagon with a perimeter of 60 inches has 6 equal sides of 10 inches. A regular hexagon has 6 equal interior equilateral triangles So in order to find the area of the hexagon we must first find the area of one of its interior triangles and then multiply the result by 6. Area of a triangle = base times perpendicular height divided by 2. An equilateral triangle can be considered as being two right angled triangles joined together. So by halving the length of its base we can find its perpendicular height by using Pythagoras' Theorem: hypotenuse2-base2 = perpendicular height2. 102-52 = 75 square inches. Square root of 75 = 8.660254038 inches. Area of the equilateral triangle = 10*8.660254038/2 = 43.30127019 square inches. Area of the regular hexagon = 43.30127019*6 = 259.8076211 square inches. Therefore the area of a regular hexagon with a perimeter of 60 inches is 260 square inches which is correct to 3 significant figures.


How do you find the area of a pentagon?

That's sort of hard to say. You'd have to use the general area formula, which is, A=1/2(length of apothem)(perimeter of polygon). Yeah, the apothem's the line drawn from the center of the pentagon to the point where it bisects it, you know, like a median. So you'd have to create a right triangle which is 1/2 the length of the side and do 360/5, which is 75. Do 75/2 and then, if you know the side or hypotenuse, use trig to find the apothem and side if needed. Then apply the formula. Okay, so here's an ex. You know the length of the side of a pentagon is 12. So you'd set up the equation sin(75/2)=6/x(your apothem). Simplify that and you get the apothem. Th perimeter'll be 12x5=60 and you'd use the general area formula to solve it. That's about all there is to it. If you still need help, I'd recommend coolmath.com. They might have something on this written in a simple form. I don't know. Try it! Anyhow, hope this works for you!


A bicycle is on sale at 12 more than half of the regular price. If the sale price is 75 find the regular price?

If 75 is 12 more than half of the regular price then simply deduct 12 from 75, which is 63 and then double it, which is 126.


How many pieces of regular candy corn are in a regular bag of candy corn?

75


Is it possible for interior angle of a regular polygon to be 75?

No.


What is a dogs regular heart rate?

75-125


Is there a regular polygon such that each exterior angle measures 75 explain?

No because 360/75 = 4.8 which means it's impossible for it to be a regular polygon with equal sides.


Area of a circle with a diameter of 75 inches?

The area of a circle with a diameter of 75 inches is: 4,418 square inches.


What is the area of Saluzzo?

The area of Saluzzo is 75 square kilometers.


What is the area of Tejaban?

The area of Tejaban is 75 square kilometers.


What is the area of Irgoli?

The area of Irgoli is 75 square kilometers.


What is the area of Latronico?

The area of Latronico is 75 square kilometers.