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Split it into 7 triangles. Half-base of each is 2 so distance of centre to mid point of base is (Pythagoras) square root of (4.62 - 22) = 4.162 So area of each triangle is this times 2, and with 7 triangles multiply also by 7 to get an approximate area of 58 sq in.

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Is the area of a regular heptagon can be found by breaking the heptagon into seven congruent triangles and then taking the sum of their areas true or false?

True. The area of a regular heptagon can be calculated by dividing it into seven congruent triangles, each having a vertex at the center of the heptagon and the other two vertices at consecutive vertices of the heptagon. By finding the area of one triangle and multiplying it by seven, you obtain the total area of the heptagon. This method effectively utilizes the symmetry of the regular heptagon.


What do you call the distance between the center of a regular polygon to one of its sides?

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?

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?


What is the approximate distance from one side of the fertile area to the other at its widest?

The approximate distance from one side of the fertile area to the other at its widest point can be determined by measuring the diameter of the area. This can be done by finding the longest distance between any two points within the fertile area. The diameter is typically calculated by doubling the radius, which is the distance from the center of the fertile area to its outer edge.


What is the distance from the vertex of a regular pyramid to the midpoint of an adage of the base?

The distance from the vertex of a regular pyramid to the midpoint of an edge of the base can be found using the Pythagorean theorem. If the height of the pyramid is ( h ) and the distance from the center of the base to the midpoint of an edge is ( d ), then the distance ( D ) from the vertex to the midpoint of the edge is given by ( D = \sqrt{h^2 + d^2} ). This applies to regular pyramids where the base is a regular polygon. The specific values of ( h ) and ( d ) depend on the dimensions of the pyramid and its base.

Related Questions

Is the area of a regular heptagon can be found by breaking the heptagon into seven congruent triangles and then taking the sum of their areas true or false?

True. The area of a regular heptagon can be calculated by dividing it into seven congruent triangles, each having a vertex at the center of the heptagon and the other two vertices at consecutive vertices of the heptagon. By finding the area of one triangle and multiplying it by seven, you obtain the total area of the heptagon. This method effectively utilizes the symmetry of the regular heptagon.


Do apothems of a regular polygon is the distance from the center of the polygon to one of the vertices?

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


The distance from the center of a regular polygon to a side of the polygon?

A Apothem


What is the approximate distance from the surface to the earth to the center of the earth?

The approximate distance from the Earth's surface to its center is about 6,371 kilometers (3,959 miles). This measurement represents the average radius of the Earth, as the planet is not a perfect sphere but slightly flattened at the poles and bulging at the equator.


Segment from the center of a regular polygon perpendicular to a side?

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


The perpendicular distance from the center of a regular polygon to a side of the polygon?

Apothem


What is suns approximate in Milky Way?

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


How do you find the volume of a heptagon?

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.


What do you call the distance between the center of a regular polygon to one of its sides?

the radius


Which word describes the perpendicular distance from the center to one of the sides of a regular polygon?

apothem


How many miles from anchorage Alaska to India?

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.


How many miles between lax and aus?

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.