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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 get the radius if angle is 150 degrees and length of arc is 330 cm?
Well, isn't that just a happy little question! To find the radius when you have the angle and arc length, you can use the formula: radius = (arc length) / (angle in degrees) * (π/180). Just plug in the values you have, and you'll have your radius in no time. Remember, there are no mistakes, just happy little accidents in math!
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.
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.
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.
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
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
In a circle of radius 60 inches a central angle of 35 will intersect the circle forming an arc of length?
To find the arc length of a circle given a central angle, you can use the formula: Arc Length = (θ/360) × (2πr), where θ is the central angle in degrees and r is the radius of the circle. For a circle with a radius of 60 inches and a central angle of 35 degrees, the arc length would be: Arc Length = (35/360) × (2π × 60) ≈ 36.7 inches.
How do you get the radius if angle is 150 degrees and length of arc is 330 cm?
Well, isn't that just a happy little question! To find the radius when you have the angle and arc length, you can use the formula: radius = (arc length) / (angle in degrees) * (π/180). Just plug in the values you have, and you'll have your radius in no time. Remember, there are no mistakes, just happy little accidents in math!
How long is the arc ACB if the radius of the circle is 6?
To find the length of the arc ACB, we need to know the measure of the central angle (in degrees or radians) that subtends the arc. The formula for the arc length ( L ) is given by ( L = r \theta ) for radians or ( L = \frac{\pi r}{180} \times \text{degrees} ) for degrees, where ( r ) is the radius and ( \theta ) is the central angle. Assuming you provide the angle, you can substitute the radius (6) and the angle into the appropriate formula to calculate the arc length.
