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The answer is simple and only works for regular polygons:
T=the number of sides /=divide
500/t
______ x (500/t)xt
Tan(180/t)
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∙ 14y ago
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How do you prove the formula for the area of a rectangle?
The formula for the area of a rectangle is length x breadth. In order to prove this works, work out an area of a rectangle using that formula.
How many sides does an irregular polygon have if it has 252 diagonals showing work?
Let its sides be x and rearrange the diagonal formula into a quadratic equation:- So: 0.5(x^2-3x) = 252 Then: x^2-3n-504 = 0 Solving the quadratic equation: gives x a positive value of 24 Therefore the polygon has 24 sides irrespective of it being irregular or regular
In a regular polygon the ratio of the measure of the exterior angle to the measure of the adjacent interior angle is 4 to 1 how many sides does the polygon have Please show your work?
This is not possible for a normal regular polygon. (A regular polygon has all equal angles and all equal sides. A normal polygon has no intersecting edges.)The smallest regular polygon is an equilateral triangle (a three sided polygon), whose exterior angle measure is twice the measure of its interior angle. A four-sided polygon (a square) has equal interior and exterior angle measures of 90⁰. Starting from a five-sided polygon, the exterior angle measure is smaller than the interior angle measure.Let's assume that the given information is true. So we need to verify it.Let's say that the interior angle of the regular polygon has a measure of x degrees, and the measure of the exterior angle of that polygon is 4x degrees.Since the sum of the interior and the exterior angles of the polygon is 180 degrees (a straight line), the interior angle is 36 degrees.4x + x = 1805x = 1805x/5 = 180/5x = 36The sum of the angles of a polygon = 180⁰(n - 2), where n is the number of the sides of the polygon.The measure of one of the angles of a polygon = 180⁰(n - 2)/n. Substituting the angle measure of 36⁰ into this formula, we have:36⁰ = 180⁰(n - 2)/n (multiply by n to both sides)36⁰n = 180⁰(n - 2)36⁰n = 180⁰n - 360⁰ (add 360⁰ and subtract 36⁰n to both sides)360⁰ = 144⁰n (divide by 144⁰ to both sides)2.5 = n !!That means that a such normal polygon does not exist.
What is the circumference if the area is 379.94 cm square?
The first step is to work out the radius. The formula for area is pi(r2). That equals 379.94, so plug this into the equation and you get a radius of 10.997. The formula for the circumference is pi(2r). Plug the now known radius in and you get 69.097516968554117299881726353374 Therefore the circumference, if the area is 379.94cm2, will be 69.1cm
How do you work out the area of a triangle inside a square?
If you want to figure out just the area of the triangle, the formula is base times height divided by 2. It does not matter if it is inside a square, as long as you have the legnths of all they sides you need to calculate the area of that triangle. If you do not, It would be very difficult.
How do you work out the exterior angle?
Measure it. There is no formula for an exterior angle unless you have a regular (or equiangular) polygon. And there is no evidence to suggest that that is the case.
Work out the number of sides of a regular polygon with an interior angle of 171 degrees?
The interior angle of a regular polygon with x sides is 180(x-2)/x. Rearranging the formula for x, the number of sides for a shape with y angles is 360/(180-y). From this formula, the number of sides is 40.
How do you work out the number of sides in a regular polygon that has an exterior angle?
With a regular polygon: 360/exterior angle = number of sides
How do you work out the exterior and interior angles of a regular polygon with W sides?
Exterior angle regular polygon = 360° ÷ number of sides = 360° ÷ W Interior angle regular polygon = 180° - exterior angle regular polygon = 180° - (360° ÷ number of sides ) = 180° - (360° ÷ W)
Work out the number of sides of a regular polygon with the interior angle of 178?
If each interior angle is 178 degrees then the regular polygon will have 180 sides.
How do you find each area of a parallelogram?
The area formula for a parallelogram is b*h=A (base times height equals area) this worjs because if you took the angled section from one side and put it against the angled section of the other, it will actually form a regular rectangle. Another option is 1/2*Pa=A (one half times perimeter times apothem equals area, or perimeter times apothem divided by two equals area) this formula will actually work for any regular polygon, hiwever it is harder to implement.
What are the two ways of finding the number of sides of a polygon which has 189 diagonals?
By using the polygon diagonal formula or the quadratic equation formula in which in both formulae they work out that the polygon in question has 21 sides.
Does the angle sum formula only work on convex polygons?
No, any polygon.
How many sides does a regular polygon have if each interior angle has a measure of 22.5?
There's no such polygon because the figures don't work out as an integer
How do you work out interior angles of an irregular polygon?
A regular or irregular polygon is a plane shape with straight sides.Measure the internal angle of all corners using a protractor.
Why does the formula for area of a circle work?
It says so in the formula
What is the formula to work out the area of a parrallegram?
Area = base*height
