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The information depends on what information is available.
For example, for a triangle in which all three sides are known (a, b and c) then calculate
s = (a+b+c)/2
And the area = sqrt[s*(s-a)*(s-b)*(s-c)]
If a, b and the angle between then, C, is known then
area = 0.5*a*b*sin(C).
There are other formulae for other circumstances.
What else can I help you with?
Which of the following is not an example of a polygon triangle square rectangle circle?
A circle is not a polygon, because a circle has no sides that are straight line segments.
What polygon has no congruent sides?
a circle and a scalene triangle.
A polygon whose vertices lie on a circle?
triangle
What is circumscribed area and inscribed area of regular polygon?
circumscribed means the polygon is drawn around a circle, and inscribed means the polygon is drawn inside the circle. See related links below for polygon circumscribed about a circle and polygon inscribed in a circle.
What polygon is a circle?
A polygon is a plane area bounded by straight lines. A circle consists of a curved line, not a straight line. Therefore a circle is not a polygon and conversely, no polygon can be a circle.
What kind of polygon has all vertices lie on a circle?
It is a regular polygon as for example an equilateral triangle
What is a true statement about a circle inscribed in a regular polygon?
The circle has a smaller area than the polygon.
What polygon fits a 22 feet circle?
A polygon with any number of sides will fit the 22ft circle. The more sides your polygon has, the less the area between the circle and the polygon..
How is the formula of a polygon closely related to the formula of the area of a circle?
The area of a polygon is greater than the area of the largest circle that can be inscribed within the polygon and smaller that the area of the smallest circle in which the polygon can be enclosed. So the areas of two circles establish a lower and upper bound to the area of the polygon. In a similar fashion, the perimeter of the polygon are also bounded by the circumferences of the two circles. This also works in reverse. That is, the area of a circle lies between the area of an inscribed polygon and that of a polygon containing the circle. And, again, the same applies to the circumference/perimeter. In fact these bounds were used to calculate the value of pi.
What is the name of a circle that lies outside of the triangle and passes through all vertices of the triangle?
The triangle that has all three vertices touching the circle is called an 'inscribed triangle.' The circle has no special name, only the polygon inscribed.
A polygon in which each side is tangent to the circle?
A square or an equilateral triangle for example when a circle is inscribed within it.
Why does pi appear in formulae for the circumference and the area of a circle - what is the connection?
Pi is defined as the ratio of the circumference of a circle to its diameter (pi = circumference / diameter). So that explains why it's in the circumference formula. For the area, a little knowledge of calculus is helpful. Here's a 'simple' explanation.Suppose you have a polygon with many sides, which is inscribed into a circle. The area of the polygon can be found by adding up the areas of isosceles triangles formed by a polygon side and line segments extending to the center. If you have enough sides, then the base of each small triangle will approximately be equal to the corresponding arc of the circle. For sufficiently small triangles (a very large number of sides for the polygon), a 'long leg' of the isosceles triangle will be approximately equal to its altitude.Say that we have a 100 sided polygon, with radius R and diameter = 2*R. So lets find the approximate area of the polygon. Each base (polygon side) will be approximately equal to Circumference/100, and each altitude will be approximately equal to R. So the area of one triangle is equal to Base*Altitude/2, which is approximately (Circumference/100)*R/2. Substitute Circumference = pi*Diameter = pi*2*R.Each triangle area is approx (pi*2*R/100)*R/2 = (pi/100)*R2. Since there are 100 triangles, the polygon area is approximately pi*R2 (which is the area of the circle). Note the word approximate, because there is slight space between the polygon and the circle, but [here's the calculus part], as the number of polygon sides approaches infinity, the space between the polygon and the circle approaches zero, and the errors in approximation approach zero, so that the area of the circle and the infinite sided polygonare the same.
