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I don't know about proving it arithmetically, but graphically you can prove it really easily.

Draw a circle, and just focus on one portion of the circle's curve. Keep making its radius bigger, looking at the same section of the circle. You'll see the curve gets wider and wider. If you kept going, the curve would get so wide it would start getting closer to a line shape. So in theory, if you made the radius infinite, it would reach the point where the curve becomes so wide it's just a straight line.

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Q: How can you prove that a circle with infinite radius is a Straight line?
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How do you prove that a circle is made up of straight lines?

A circle is NOT made up of straight lines. As the number of sides of an n-gon are increased and the length of each side is reduced, the distance between the n-gon and the circle can be made smaller than an arbitrarily small number. The n-gon TENDS to the circle as the length of the largest straight line segment tends to zero but that does not mean the two are ever the same.


How do you prove space as infinite mathematically?

There is no mathematical proof that space is infinite. All we know is that there is an expanding limit to what we can see.


How do you prove using a diagram that the magnitude of the sum of two vectors is less than or equal to the sum of the magnitude of the two vectors?

You could draw a circle [center at origin] with radius of (a + b), for the two magnitudes a and b. This represents the sum of the magnitudes. Then draw one of the vectors starting at the origin [suppose it's vector a], and then draw a circle centered at the endpoint of vector a, with a radius of b. Drawing a circle demonstrates how the second vector can point in any direction relative to the first vector. The distance from the origin to a point on this second circle is the magnitude of the resultant vector. Graphically this second circle will be entirely inside the first circle and touching it at just one point. Since it lies within the first circle, the distance from the origin to a point on that circle will be less than or equal to the radius of the first circle.


How can you prove that the line between to points is a tangent of the smaller circle?

Step I: Show that both points are outside the smaller circles. Possibly by showing that distance from each point to the centre of the circle is greater than its radius. Step 2: Show that the line between the two points touches the circle at exactly one point. This would be by simultaneous solution of the equations of the line and the circle.


How do you prove In a circle or congruent circles congruent central angles have congruent arcs?

Chuck Norris can prove it

Related questions

How can you prove that a line going through a circle is a line of symmetry?

The diameter of a circle is its line of symmetry and the lines can be infinite


Prove or disprove that the point (2 1) lies on the circle centered at the origin with a radius of 2.?

It is not true because the distance from (0, 0) to (2, 1) works out as the square root of 5 which is the circle's radius.


How do you draw a circle with any radius in which i and o are intriour and exteriour?

Continue or follow the inner or outer trajectory of the radius arc line in either, or both, directions until it meets itself. The i will have a center point which is at a fixed distance from the arc, equal to one half of the radius of the finished circle, and which will thereby prove the circle.


How do you prove sin90equalsto 1?

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Which polygon has infinite sides?

If a point moves in plane such that its distance remains constant from a fixed point then the figure obtained is called circle.Or we can define circle as the collection of points which are equidistant from fixed points. However there is another way to describe circle: It is a polygon made up of infinite sides.But how can we prove that?As we all know that earth is a big sphere but to us, humans, it is like a plane surface. The reason behind this is that are considering very very small part of the surface. So if we consider infinitesimal part then it can be considered as made up of infinite planes.Similarly a circle can be defined as a polygon of infinite sides.* * * * *No, it cannot be so defined. A polygon, by definition has straight sides. As the number of sides of a polygon approach infinity (under certain conditions), the shape approaches a circle: in the limit but it can never actually be a circle.


How do you prove that a circle is made up of straight lines?

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How do you prove the formula for the area of a circle?

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How do you prove space as infinite mathematically?

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How do you prove 1 radian is equal to 360 degree?

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How do you prove using a diagram that the magnitude of the sum of two vectors is less than or equal to the sum of the magnitude of the two vectors?

You could draw a circle [center at origin] with radius of (a + b), for the two magnitudes a and b. This represents the sum of the magnitudes. Then draw one of the vectors starting at the origin [suppose it's vector a], and then draw a circle centered at the endpoint of vector a, with a radius of b. Drawing a circle demonstrates how the second vector can point in any direction relative to the first vector. The distance from the origin to a point on this second circle is the magnitude of the resultant vector. Graphically this second circle will be entirely inside the first circle and touching it at just one point. Since it lies within the first circle, the distance from the origin to a point on that circle will be less than or equal to the radius of the first circle.


How many symmetry does a cone have?

A cone has infinitely many planes of symmetry because its base is a circle, which also has an infinite amount of planes of symmetry. Prove it by making a 3D model of it and they look at the number of vertexes.


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