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How do you find the area of a polygon with only the radius given?
Wiki User
∙ 13y ago
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.
Wiki User
∙ 13y ago
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How do you find the area of the regular polygon if only the radius is given?
The circumradius 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 Area = 1/2*n*r2*sin(2Ï€/n) square units, where the angle is measured in radians. If, instead, the radius of the inscribed circle (the apothem) is known to be x units, then Area = nx2*tan(Ï€/n)
How do you find the area of a polygon?
To find the area of a polygon, take half of the length of the perimeter and multiply it by the apothem.Apothem= the measure from the side of the figure to the center (like the radius).An expression is A=ap/2
How do you find radius when area is given?
Divide the area by pi and then square root it this will give the radius of the circle.
How do you find the radius of a circle when given only the area?
Area = pi*radius2 So, radius = sqrt(area/pi)
How do you find the area when perimeter is given?
Unless the area is a regular polygon (or a circle) you cannot.
How do you find diameter when given radius?
you have multiplythe radius by 2 to get the diameter
How do you find the area of the regular polygon if only the radius is given?
The circumradius 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 Area = 1/2*n*r2*sin(2Ï€/n) square units, where the angle is measured in radians. If, instead, the radius of the inscribed circle (the apothem) is known to be x units, then Area = nx2*tan(Ï€/n)
How do you find the area of a polygon?
To find the area of a polygon, take half of the length of the perimeter and multiply it by the apothem.Apothem= the measure from the side of the figure to the center (like the radius).An expression is A=ap/2
How do you find radius when area is given?
Divide the area by pi and then square root it this will give the radius of the circle.
How do you find the radius of a circle when given only the area?
Area = pi*radius2 So, radius = sqrt(area/pi)
How do you find the radius of a circle when your given the area?
a=area p=pi r=radius sqr(a/p)=r
How do you find the area when perimeter is given?
Unless the area is a regular polygon (or a circle) you cannot.
What is the area of a regular polygon if the radius is 8 cm?
The area of a regular polygon with n sides is the half of the product of its perimeter and the apothem. So that you do not have enough information to find the area of the polygon (for example how many sides it has, or the side length).
How can I find circumference when only area is given?
Radius = square root of (area/pi) Circumference = 2*pi*radius
How can you calculate the radius with the area given to you?
Area of a circle = pi x radius squared, so to get the radius, divide the Area by pi (3.14159), and then find the square root of that
What are the measures in a regular polygon?
The area of a regular polygon is given by the following formula: area =(1/2) (apothem)(perimeter).There are several other formulas that can be used. Regular Polygon Formulas are: N=number of sides, s= length, r = apothem (adiius of inscribed circle) R = radius of circumcircle. Using any of these formulas you can find the measurements of a regular polygon.
How do you find the area of a circle with a given radius diameter and circumference?
Given the radius, r, the area is pi*r^2.If given the diameter d, the radius is d/r so the area is 0.25*pi*d^2If given the circumference, c, the radius is c/(2*pi), so area = 0.25*(c^2)/pi
