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Length of any curve is imagined as an infinite sum of the lengths of infinitely small straight sections. If you look at a part of circle under a microscope you cannot tell that it is curved. This idea is used extensively in the branch of mathematics call "integral calculus". On a practical level, you can lay out a circle with a length of wire, then straighten it out to measure its length.

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Q: What does it mean for a straight line such as a radius to be equal in length to a curved line such as an arc of a circle?
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Related questions

How do you change a diameter in radius?

The diameter of a circle is the length of a straight line that goes through the exact center of a circle. The radius of a circle is the length of a straight line that starts at the exact center and reaches the circle. The radius is half the length of the diameter.


What is the radius of the circle equal to?

Radius of a circle= Perimeter of the circle/2*pi Radius is half the diameter Radius is the length of a straight line from the center point of the circle to the edge of the circle.


Whats a radius in math?

The length of a straight line from the centre of a circle to the edge of the circle.


How do you find the radious of a circle?

The radius of a circle is any straight line from the centre of the circle to its circumference. The radius can also refer to the length of this line.


What does the radius and diameter have in common?

They both describe a circle. The radius is the length from the middle of the circle to the edge. The diameter is the length of a straight line going through the middle of the circle edge to edge.


Diameter of a circle is 16cm what is the radius?

The diameter of a circle is the length of a straight line from a point on the edge of the circle passing through the center of the circle and onto a point on the opposite edge of the circle. The radius of a circle is the length of a straight line from the center of a circle to a point on the edge of the edge of the circle. So the radius of a circle is half its diameter, in this case 8cm.


A radius of a circle is 13 1 6 what is the diameter?

By definition the radius of a circle is a straight line drawn from the centre of a circle to its circumference. If you extend that line to the opposite side of the circle it becomes the diameter. The length of the diameter is twice the length of the radius. If the radius is 1316 the diameter is 2632


What is the radius of a circle with the diameter of 6?

The diameter is the length of a straight line, from one side of the circle to the other, passing through the centre. The radius is a straight line from the circle centre to the circle itself and is always = half the length of the diameter, so 6 * 0.5 = 3


How is the diameter and radius similar?

diameter is 2 times the length of the radius and is a line straight through the center of the circle. radius is half of the diameter and is a line from the center to a edge of the circle


What is the definition of cercumference and radius of pi.?

Circumference is the enclosing boundary of a curved geometric figure, especially a circle. Radius is a straight line from the center to the circumference of a circle or sphere. Pi is the numerical value of the ratio of the circumference of a circle to its diameter and does not have a circumference or radius of its own.


Why are radius and diameter different?

The radius is half of the diameter. The radius of a circle is the distance from the centre to the circumference. The diameter of a circle is the length of a straight line from one point on the circumference to another, passing through the centre of the circle.


What is the diameter of a circle?

A chord of a circle is a straight line that joins any two points on the circumference of a circle. The diameter of a circle is the length of the chord that passes through the centre of the circle; it is the chord of longest length and is twice the radius of the circle in length.