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Q: Does the circumference of a circle vary directly with its radius?
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How would you find the radius of a circle with a circle with a circumference of 68cm?

First, divide the circumference by Pi (about 3.1416): 68 / 3.1416 = 21.65 cm. This is the diameter. Now, divide the diameter by two to get the radius: 21.65 / 2 = 10.825 cm.The radius is: 10.825 cmNote: The result will vary slightly depending on the value you use for Pi


What does pi the formula in math stands for?

In certain formulas, including most that involve circles, you will see 'pi'. This pi always has the same value, approximately 3.14159... However, this number is irrational, which means it never terminates (ends) or repeats. But what exactly is pi? Pi is the ratio between any circle's circumference and its diameter. This ratio is always the same, no matter how big or small the circle is, but the degree of precision might vary depending on how big the circle is. Why is Pi useful? Pi allows us to calculate the diameter or area of any circle, but also has many other uses. In order to use these formulas, though, we need to define the terms we are using. Circumference - the distance around the circle Diameter - the length of a straight line segment that passes through the center of the circle Radius - the distance from the center of the circle to the circle itself To calculate the circumference, multiply the diameter by pi (3.14...) To calculate the area, square the radius, then multiply this by pi (3.14...) In symbols: Circumference = diameter x pi Area = (radius)2 x pi Hope this helped.


What is the volume of a soccer ball?

Because the circumference can vary from 68 to 70 centimeters, the volume is approximately 5310 to 5792 cubic centimeters(324 to 353.5 cubic inches).Circumference 68 cm = Radius 34/pi = Area 5309.77 cm3Circumference 70 cm = Radius 35/pi = Area 5792.19 cm3


How do you find the arc length of a circle that has an inscribed polygon?

What do you mean by "arc length of a circle"? If you mean the arc length between two adjacent vertices of the inscribed polygon, then: If the polygon is irregular then the arc length between adjacent vertices of the polygon will vary and it is impossible to calculate and the angle between the radii must be measured from the diagram using a protractor if the angle is not marked. The angle is a fraction of a whole turn (which is 360° or 2π radians) which can be multiplied by the circumference of the circle to find the arc length between the radii: arc_length = 2πradius × angle/angle_of_full_turn → arc_length = 2πradius × angle_in_degrees/360° or arc_length = 2πradius × angle_in_radians/2π = radius × angle_in_radians If there is a regular polygon inscribed in a circle, then there will be a constant angle between the radii of the circle between the adjacent vertices of the polygon and each arc between adjacent vertices will be the same length; assuming you know the radius of the circle, the arc length is thus one number_of_sides_th of the circumference of the circle, namely: arc_length_between_adjacent_vertices_of_inscribed_regular_polygon = 2πradius ÷ number_of_sides


What is the set of points in a plane that are equal distant from a fixed point called?

A set of points in a plan that are equally distanced from a fixed point is called a circle. equation of a circle is: (x - h)2 + (y - k)2 = r2 Center = (h, k) Radius = r Since Radius (can vary for different circles on that plan) is at equal distance throughout the plan we can therefore say that a set of points in a plan that are equally distanced from a fixed point is called a circle.

Related questions

In a circle the circumference and diameter vary directly Which of the following equations would allow you to find the diameter of a circle with a circumference of 154 if you know that in a second ci?

In a circle, the circumference and diameter vary directly. Which of the following equations would allow you to find the diameter of a circle with a circumference of 154 if you know that in a second circle the diameter is 14 when the circumference is 44?


How would you find the radius of a circle with a circle with a circumference of 68cm?

First, divide the circumference by Pi (about 3.1416): 68 / 3.1416 = 21.65 cm. This is the diameter. Now, divide the diameter by two to get the radius: 21.65 / 2 = 10.825 cm.The radius is: 10.825 cmNote: The result will vary slightly depending on the value you use for Pi


What is the difference between the area and the circumference of number eight?

Do you mean the geometrical shape that is the character "8" ? If so then drawn in its simplest form as two tangential circles not necessarily of the same radii, so obviously: - the circumference of each circle will vary with its ownradius, and - the area of each circle will vary as the square of its own radius; and the combined circumference or area will be the sum of the two individual ones respectively. I can't say I've ever had to calculate areas and perimetersof characters but I suppose you might if you are in sign-making or neon-lamp manufacturing!


Can the diameter be bigger than the circumference?

You cannot really compare those two different kinds of values - it's quite nonsense to compare area versus circumference. You could compare numbers but they'll vary depending on your choice of units. Anyway, it's perfectly possible to have shape of area, say, 1 m2 and circumference measured in kilometers - if the shapes perimeter is ragged.


What does pi the formula in math stands for?

In certain formulas, including most that involve circles, you will see 'pi'. This pi always has the same value, approximately 3.14159... However, this number is irrational, which means it never terminates (ends) or repeats. But what exactly is pi? Pi is the ratio between any circle's circumference and its diameter. This ratio is always the same, no matter how big or small the circle is, but the degree of precision might vary depending on how big the circle is. Why is Pi useful? Pi allows us to calculate the diameter or area of any circle, but also has many other uses. In order to use these formulas, though, we need to define the terms we are using. Circumference - the distance around the circle Diameter - the length of a straight line segment that passes through the center of the circle Radius - the distance from the center of the circle to the circle itself To calculate the circumference, multiply the diameter by pi (3.14...) To calculate the area, square the radius, then multiply this by pi (3.14...) In symbols: Circumference = diameter x pi Area = (radius)2 x pi Hope this helped.


How do you find the radius given the chord length?

If you are given a chord length of a circle, unless you are given more information about the chord, you can not determine what the radius of the circle will be. This is because the chord length in a circle can vary from a length of (essentially) 0, up to a length of double the radius (the diameter). The best you can say about the radius if given the chord length, is that the length of the radius is at least as long has half half the chord length.


What is the volume of a soccer ball?

Because the circumference can vary from 68 to 70 centimeters, the volume is approximately 5310 to 5792 cubic centimeters(324 to 353.5 cubic inches).Circumference 68 cm = Radius 34/pi = Area 5309.77 cm3Circumference 70 cm = Radius 35/pi = Area 5792.19 cm3


Is a circle an oval?

NO!!! Circle ; from its centre the distance to the edge(circumference) is equal . Ellipse(Oval) ;from its centre the distance to its edge(circumference) can vary. Casually, you can think of an oval as a squashed circle. In the coordianet plane ; A circle has the Equation x^2 + y^2 = 1 An Oval has the Equations x^2/a^2 + y^2/b^2 = 1 The 'a' & 'b' represent the eccentricity of the oval (ellipse), and the lengths of the major and minor axes.


How do you find the arc length of a circle that has an inscribed polygon?

What do you mean by "arc length of a circle"? If you mean the arc length between two adjacent vertices of the inscribed polygon, then: If the polygon is irregular then the arc length between adjacent vertices of the polygon will vary and it is impossible to calculate and the angle between the radii must be measured from the diagram using a protractor if the angle is not marked. The angle is a fraction of a whole turn (which is 360° or 2π radians) which can be multiplied by the circumference of the circle to find the arc length between the radii: arc_length = 2πradius × angle/angle_of_full_turn → arc_length = 2πradius × angle_in_degrees/360° or arc_length = 2πradius × angle_in_radians/2π = radius × angle_in_radians If there is a regular polygon inscribed in a circle, then there will be a constant angle between the radii of the circle between the adjacent vertices of the polygon and each arc between adjacent vertices will be the same length; assuming you know the radius of the circle, the arc length is thus one number_of_sides_th of the circumference of the circle, namely: arc_length_between_adjacent_vertices_of_inscribed_regular_polygon = 2πradius ÷ number_of_sides


Which planets are the widest?

The circumference of the planets vary. Mercury has a circumference of 9,522 miles. Venus has a circumference of 23,617 miles. Earth has a circumference of 24,889 miles. Mars has a circumference of 13,256 miles.


What is the area of a circle with a radius of 9 inches?

The formula for the area of a circle is: A = π r²If you use 3.14 for π, the formula would be:A = 3.14 x 9²A = 3.14 x 81A = 254.34 square inchesThe answer will vary depending upon what is used for pi. An online calculator for the area of a circle gives an answer of 254.469.


What is the set of points in a plane that are equal distant from a fixed point called?

A set of points in a plan that are equally distanced from a fixed point is called a circle. equation of a circle is: (x - h)2 + (y - k)2 = r2 Center = (h, k) Radius = r Since Radius (can vary for different circles on that plan) is at equal distance throughout the plan we can therefore say that a set of points in a plan that are equally distanced from a fixed point is called a circle.