Q: What is the approximate area of a regular heptagon with a side length of 4 inches and a distance from the center to a vertex of 4.6 inches?

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the radius

What is the area of a regular octagon with a side length of 5 meters and a distance from the center to a vertex of 6.5 meters?

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It is its radius that is the distance from the center of the circle to its circumference.

If it's wide flange, it's from center of web to web distance. Other structural members, it's center of flange to center of flange.

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No, it is the distance from the center of the polygon to the centre of one of its sides.

A Apothem

That is called the apothem. The definition is: An Apothem is the distance from the center of a regular polygon to the midpoint of a side

Apothem

The Sun - with our Solar System - is at a distance of about 26,000 from the center of the Milky Way.

The volume of a heptagon can be found in two ways. Multiply the side length by 7/4 and then by the cotangent of a 25 5/7 angle. From the perimeter, measure the distance from the center of the middle of each side. The multiply it by two and then divide by two.

the radius

apothem

I will take aus as center of Australia. They are 8122 miles (approximate distance) away from each other. Note that this is a straight distance between the two places. The actual distance may vary according to the flight path or road/sea route chosen.

I will take center of India as target. They are 6220 miles (approximate distance) away from each other. Note that this is a straight distance between the two places. The actual distance may vary according to the flight path or road/sea route chosen.

The following two methods can find the area of a regular heptagon. These methods will not work on an irregular heptagon. Multiply the length of one side by 7/4 and then by the cotangent of a 25 5/7 degree angle. Multiply the perimeter by the distance from the center to the middle of a side, then divide by two. You must know the length of a side to calculate the area of a heptagon. Area = n (s/2)^2 / tan( pi /n) where n=7; s=side length A septagon is a seven sided figure. Given a regular septagon (with seven sides of equal length), the formula for the area is 7/4 (a^2) * cot (180 degrees/7), where a is the length of one side.

The distance mentioned between the above mentioned places is 72.98mi. This is an approximate driving distance. The actual driving distance may differ according to the path chosen.