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What is the area of a regular pentagon if each side is 8 meters the apothem is 6 meters and the radius is 7 meters?
Wiki User
∙ 14y ago
== == The question does not make sense because the numbers are not consistent. It is a bit like asking the area of a circle if the radius is 6 and the diameter is 8. A circle's diameter is constrained to be twice the size of the radius. Similarly, the apothem of the specified pentagon is constrained to be a particular size and the apothem size is not 6.
Also, a pentagon does not have a radius, so that part of the question does not make sense.
Notes: * A previous version of the answer to this question on this site mentioned that the source of the solution is from www.icoachmath.com. However, there does not seem to be any pentagon area problems on that site. * A precise regular pentagon area is defined on the linked site:
knol.Google.com/k/scot-ellison/area-of-a-regular-pentagon
Wiki User
∙ 14y ago
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What is the area of a regular pentagon with a radius of 7?
The area of a regular pentagon with a radius of 7 is 10.1716. If the radius was 5, the area would be 7.26543.
How is an apothem different from a radius?
An apothem is a line drawn perpendicular to a side of a regular polygon from the center of the polygon. A polygon is not a circle so it cannot have a radius. The radius of a circle is drawn from the center to any point in the circumference of the circle. You can draw a circle which encloses the regular polygon touching all vertices. The polygon is said to be inscribed in the circle. The apothem will be less than the radius because the radius is not perpendicular to any side, it can be drawn to a vertex but the apothem is perpendicular to a side, so it is shorter. Ex: draw a square with a circle which inscribes it. You can see that the apothem will be less than the radius.
Area of a regular pentagon with a radius of 3 cm?
21.4
Why does a circle has a radius but a square does not?
A circle has a radius because each radius is the same. A square does not because if it did, not every radius would be the same. Since a square is a regular polygon, it has an apothem, which goes from the center to the middle of a side, so it doesn't need a radius.
What is the perimeter of a regular 15-gon with a radius of 3?
12
What is Area of a regular pentagon with radius of 5.1 and side of 7.5?
A regular pentagon with a radius (apothem) of 5.1 units cannot have sides of 7.5 units and, conversely, a regular pentagon with sides of length 7.5 units cannot have a radius of 5.1 units. The figure is, therefore, impossible.
Is the radius of a regular polygon always greater than the apothem?
yes the radius of a regular polygon is always greater than the apothem
The apothem of a regular pentagon is 10.8 centimeters what is the radius of the circumscribed circle?
The line joining the centre of the pentagon to any vertex is a radius of the circumscribed circle. The angle between such a line and the adjacent apothem is 360/10 = 36 degrees. If the radius is r, then we can now write: cos36 = 10.8/r So r = 10.8/cos36 = 13.350cm. to 3 decimal places.
What is the area of a regular pentagon with a radius of 7?
The area of a regular pentagon with a radius of 7 is 10.1716. If the radius was 5, the area would be 7.26543.
Why is radius greater than apothem?
In a regular polygon, the apothem is a line from the centre to the mid-point of one of the flat sides. The radius is a line from the centre to a corner, which is longer.
How is an apothem different from a radius?
An apothem is a line drawn perpendicular to a side of a regular polygon from the center of the polygon. A polygon is not a circle so it cannot have a radius. The radius of a circle is drawn from the center to any point in the circumference of the circle. You can draw a circle which encloses the regular polygon touching all vertices. The polygon is said to be inscribed in the circle. The apothem will be less than the radius because the radius is not perpendicular to any side, it can be drawn to a vertex but the apothem is perpendicular to a side, so it is shorter. Ex: draw a square with a circle which inscribes it. You can see that the apothem will be less than the radius.
What is the area of a regular pentagon if the radius is 8 meters?
To find the area of a regular pentagon, you can use the formula area is equal to n multiplied by r raised to the second power time tan pi/n, where n is the number of sides or 5 and r is the radius. Using the formula, the area is 232.33 square meters.
What is the apothem of a regular hexagon with a radius of 8?
3 times the square root of 3
How do you find the area of a square using the radius and the apothem?
For a SQUARE, the area is (2r)2 because the length and width are the same. The apothem (radius) is used to find the area of other regular polygons.
What is the apothem of a regular hexagon with a radius of 12 centimeters Round to the nearest tenth?
10.4 cm
Area of a regular pentagon with a radius of 3 cm?
21.4
What is the area of a regular hexagon if each sides is 11m the apothem is 9m and the radius is 10m?
297 M
