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To find the length of a 60-degree arc in a circle with a radius of 9 cm, you can use the formula for arc length: ( L = \frac{\theta}{360} \times 2\pi r ), where ( \theta ) is the angle in degrees and ( r ) is the radius. Substituting the values, we get ( L = \frac{60}{360} \times 2\pi \times 9 ). This simplifies to ( L = \frac{1}{6} \times 18\pi = 3\pi ). Therefore, the length of the arc is approximately 9.42 cm when calculated numerically.
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How do you find the radius when only the arc length and degree are given?
2*pi*r/Arc length = 360/Degreesince both are a ratio of the whole circle to the arc.Simplifying,r = 360*Arc Length/(2*pi*Degree) = 180*Arc Length/(pi*Degree)
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 130 degree radius?
A 130-degree radius typically refers to a circular arc or sector with a central angle of 130 degrees. In this context, the radius is the distance from the center of the circle to any point on its circumference. This means that if you were to draw a circle with a radius of a specific length, the arc defined by a 130-degree angle would represent a portion of that circle, covering about one-third of its total circumference.
If an arc measures 160 what is the length of the radius of this circle?
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How to find a sector area in a circle if you have only the arc length?
If you have the arc length:where:L is the arc length.R is the radius of the circle of which the sector is part.
Given a circle with a radius of 8mm and an arc with a length of 4.2 mm what is the degree of the arc?
The degree of the arc is: 30.08 degrees.
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
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 radius when only the arc length and degree are given?
2*pi*r/Arc length = 360/Degreesince both are a ratio of the whole circle to the arc.Simplifying,r = 360*Arc Length/(2*pi*Degree) = 180*Arc Length/(pi*Degree)
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
Arc length equals the measure of the arc?
The arc length is the radius times the arc degree in radians
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.
If the radius of a circle is doubled how is the length of the arc intercepted by a fixed central angle changed?
If the radius of a circle is tripled, how is the length of the arc intercepted by a fixed central angle changed?
How do you find radius of a circle if given arc length?
you will need to know the angle subtended by the arc; arc length = radius x angle in radians
What is 130 degree radius?
A 130-degree radius typically refers to a circular arc or sector with a central angle of 130 degrees. In this context, the radius is the distance from the center of the circle to any point on its circumference. This means that if you were to draw a circle with a radius of a specific length, the arc defined by a 130-degree angle would represent a portion of that circle, covering about one-third of its total circumference.
How do you find the central angle of a circle if I am given the arc length and radius?
(arc length / (radius * 2 * pi)) * 360 = angle
Find the area of a sector of a circle with radius 12 and arc length 10pi?
The area of a sector of a circle with radius 12 and arc length 10pi is: 188.5 square units.
