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What is the length of the arc if the radius is 6 and angle is 94 degrees?
Wiki User
∙ 8y ago
Arc length of 94 degrees: 94/360*2*pi*6 = 9.844 units rounded to 3 decimal places
Wiki User
∙ 8y ago
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How does one calculate arc length when given the radius and angle measure in degrees?
To find the arc length given the radius and angle measure in degrees, you must first convert the angle from degrees to radians, using the formula: Degrees = Radians X (pi/180). Then take the radians and the radius that you are given, and put them into the formula of Q = (a/r) where Q is the angle in radians, a is the arc length, and r is the radius. When you have this, simple multiply both sides by the radius to isolate the a. Once you do this, you have your answer.
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 angle measures 58 degrees?
The obvious answer is 58 degrees. It is very close to one radian (57.3 degrees), which is an angle such that the length of the arc that it subtends is the same as the radius.
If a sector has an angle of 118.7 and an arc length of 58.95mm what is its radius?
If a sector has an angle of 118.7 and an arc length of 58.95 mm its radius is: 28.45 mm
A central angle of a circle of radius 30 cm intercepts an arc of 6 cm Express the central angle in radians and in degrees?
A central angle is measured by its intercepted arc. Let's denote the length of the intercepted arc with s, and the length of the radius r. So, s = 6 cm and r = 30 cm. When a central angle intercepts an arc whose length measure equals the length measure of the radius of the circle, this central angle has a measure 1 radian. To find the angle in our problem we use the following relationship: measure of an angle in radians = (length of the intercepted arc)/(length of the radius) measure of our angle = s/r = 6/30 = 1/5 radians. Now, we need to convert this measure angle in radians to degrees. Since pi radians = 180 degrees, then 1 radians = 180/pi degrees, so: 1/5 radians = (1/5)(180/pi) degrees = 36/pi degrees, or approximate to 11.5 degrees.
How do you find the angle with the radius and the arc length?
The arc length divided by the radius is the angle in radians. To convert radians to degrees, multiply by (180/pi).
How do you find the length of an arc and leave you answer in terms of pi?
The length of an arc is the radius times the angle in radians that the arc subtends length = radius times angle in degrees times pi/180
What is the length of an arc with a radius of 5 and the central angle is 120 degrees?
Length of arc = pi*radius*angle/180 = 10.47 units (to 2 dp)
What is the length of the minor arc if the angle is 30 degrees?
It's 0.524 of the length of the radius.
How do you find angle in degrees when having a set arc length and radius?
Angle = Arc length * 360/(2*pi*r) = 180/(pi*r) where r is the radius.
Is the measure of an arc equal to the measure of its central angle?
Yes. Besides the included angle, arc length is also dependant on the radius. Arc length = (Pi/180) x radius x included angle in 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
How does one calculate arc length when given the radius and angle measure in degrees?
To find the arc length given the radius and angle measure in degrees, you must first convert the angle from degrees to radians, using the formula: Degrees = Radians X (pi/180). Then take the radians and the radius that you are given, and put them into the formula of Q = (a/r) where Q is the angle in radians, a is the arc length, and r is the radius. When you have this, simple multiply both sides by the radius to isolate the a. Once you do this, you have your answer.
What is the relationship of the arc length radius and angle?
When the arc length is the same size as a circle's radius it is known as a radian and it measures just under 57.3 degrees
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
Find the arc length of a sector with a radius of 30 and an angle of 60 degrees?
arc length = angle/360 x r 60/360 x 30 = 5
How to find length of arc if radius and angle subtended at the center are given?
Full circumference of the circle = (2 pi) times (radius)Arc is a fraction of the full circumference.The fraction is (angle subtended at the center) divided by (360 degrees).If you have the radius 'R' and the angle 'A', the length of the arc is(pi) (R) (A) / 180
