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How can you measure the length of an arc in a circle?

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Updated: 9/17/2023

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Q: How can you measure the length of an arc in a circle?

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How can the radian measure of an angle determine the arc length on the unit circle?

The radian measure IS the arc length of the unit circle, by definition - that is how the radian is defined in the first place.

If a circle has radius 6 in and an arc measure of 100 then what is the arc length?

100/360 of the circumference of the circle = 10*pi inches

If An ARC measures 120 degrees what is the length of the radius of the circle?

The radius of a circle has no bearing on the angular measure of the arc: the radius can have any positive value.

Equation for the diameter of a circle?

It depends on what other information you have: area, circumference, radius, length of arc subtending a known angle, measure of angle for a known arc length etc.

How do you find the diameter when you only have the arc measure and length?

Suppose the angle of the arc is x radians and the length of the arc is a units. Then, if the radius of the circle is r units, a = rx or r = a/x So d = 2a/x units of length.

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Related Questions

How can the radian measure of an angle determine the arc length on the unit circle?

The radian measure IS the arc length of the unit circle, by definition - that is how the radian is defined in the first place.

If the arc on a particular circle has an arc length of 12 inches and the circumference of the circle is 48 inches what is the angle measure of the arc?

The angle measure is: 90.01 degrees

If a circle has radius 6 in and an arc measure of 100 then what is the arc length?

100/360 of the circumference of the circle = 10*pi inches

How do you find the arc length with the angle given?

An arc can be measured either in degree or in unit length. An arc is a portion of the circumference of the circle which is determined by the size of its corresponding central angle. We create a proportion that compares the arc to the whole circle first in degree measure and then in unit length. (measure of central angle/360 degrees) = (arc length/circumference) arc length = (measure of central angle/360 degrees)(circumference) But, maybe the angle that determines the arc in your problem is not a central angle. In such a case, find the arc measure in degree, and then write the proportion to find the arc length.

Which best describes how to find the length of an arc in a circle?

Divide the arc's degree measure by 360°, then multiply by the circumference of the circle.

If An ARC measures 120 degrees what is the length of the radius of the circle?

The radius of a circle has no bearing on the angular measure of the arc: the radius can have any positive value.

What is the length of an arc of a circle?

The length of an arc of a circle refers to the product of the central angle and the radius of the circle.

How do you find the degree measure of a central angle in a circle if both the radius and the length of the intercepted arc are known?

-- Circumference of the circle = (pi) x (radius) -- length of the intercepted arc/circumference = degree measure of the central angle/360 degrees

Who to arc length Radius of the circle 4756 and angle 45deg find arc length?

(arc length)/circumference=(measure of central angle)/(360 degrees) (arc length)/(2pi*4756)=(45 degrees)/(360 degrees) (arc length)/(9512pi)=45/360 (arc length)=(9512pi)/8 (arc length)=1189pi, which is approximately 3735.3536651

Can two arcs have the same degree measure and still have different lengths?

s = rθs=arc lengthr=radius lengthθ= degree measure in radiansthis formula shows that arc length depends on both degree measure and the length of the radiustherefore, it is possible to for two arcs to have the same degree measure, but different radius lengthsthe circumference of a circle is a good example of an arc length of the whole circle

What is the formula for the measure of an arc?

The length of an arc of a circle of radius r, which subtends an angle of x radians at the centre is r*x.

What is the measure of an arc?

The measure of an arc is part of the circumference of a circle

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