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How do you find the area of a polygon with only the radius given?
a polygon doesn't have a radius... a circle has a radius. the area of a circle is pi times the radius squared. * * * * * While it is true that a polygon does not have a radius, it does have a circumradius. This is the radius of the circle which passes through each of the polygon's vertices. If the circumradius is r units, and the polygon has n sides, then its area will be 1/2*n*r2*sin(2π/n) square units, where the angle is measured in radians.
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 radius of a polygon whose circumscribed circle has a diameter 16?
The radius is 8 units.
What are the radius of a Polygon that is 500 sq ft?
Only cyclic polygons can have a radius and they are a tiny, tiny minority of very special types of polygons. For the vast majority of polygons, the concept of a radius makes no sense. Next, even if the polygon was assumed to be cyclic, there is not enough information provided by its area to determine the number of sides - which, in turn will determine its dimensions. For example, the polygon could be a long thin rectangle with a very large radius, or a near-square with a small radius.
This figure is a regular 12 sided polygon the diameter of the cirle that circumscribes it is 16cm find the radius of the polygon?
8
How do you find the area of a polygon with only the radius given?
a polygon doesn't have a radius... a circle has a radius. the area of a circle is pi times the radius squared. * * * * * While it is true that a polygon does not have a radius, it does have a circumradius. This is the radius of the circle which passes through each of the polygon's vertices. If the circumradius is r units, and the polygon has n sides, then its area will be 1/2*n*r2*sin(2π/n) square units, where the angle is measured in radians.
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
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.
How do you find diameter when given radius?
you have multiplythe radius by 2 to get the diameter
What is the radius of a polygon whose circumscribed circle has a diameter 16?
The radius is 8 units.
This figure is a 12 sided polygon the diameter of the circle that circumscribes it is 16 cm find the radius of the polygon?
8 the answer is 8
What are the radius of a Polygon that is 500 sq ft?
Only cyclic polygons can have a radius and they are a tiny, tiny minority of very special types of polygons. For the vast majority of polygons, the concept of a radius makes no sense. Next, even if the polygon was assumed to be cyclic, there is not enough information provided by its area to determine the number of sides - which, in turn will determine its dimensions. For example, the polygon could be a long thin rectangle with a very large radius, or a near-square with a small radius.
What is a circumscribed polygon?
A circumscribed polygon is a polygon all of whose vertices are on the circumference of a circle. The circle is called the circumscribing circle and the radius of the circle is the circumradius of the polygon.
What is a segment that connects the center of a polygon to the midpoint of a side?
radius
This figure is a regular 12 sided polygon the diameter of the cirle that circumscribes it is 16cm find the radius of the polygon?
8
What is the formula to find the radius of a 12 sided polygon?
To find the radius of a regular 12-sided polygon, you can use the formula: r = s / (2sin(π/12)), where s is the side length of the polygon and r is the radius of the circumcircle (circle passing through all the vertices).
How many straight lines is formed for a polygon?
It depends. A polygon can have any number of sides, in the same way as a circle can have any radius.
