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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 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).
For a circle of radius 9 feet find the arc length 's' subtended by a central angle of 18 degrees?
The measure of the central angle divided by 360 degrees equals the arc length divided by the circumference. So 18 degrees/360 degrees=arc length/(9 feet*2pi). 1/20=arc length/18pi feet; arc length=9pi/10 feet. It's refreshing to answer a question that is written with grammatical accuracy!
What is the measure of a major arc?
The length of the major arc is r*x where r is the radius of the circle and x is the larger of the angles, measured in radians, formed at the centre by the radii from the two ends of the arc. If you measure angles in degrees, the length is r*x*pi/180.
Find the lenght of a chord that cuts off an arc of measure 60 degrees in a circle of radius 12?
The radial length equals the chord length at a central angle of 60 degrees.
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.
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.
How do you find the measure of an angle from its arc?
Multiply the radius by 2 and then by 3.14. Divide the length of the arc by this answer. Multiply this fraction by 360 degrees. That will be your answer.
Arc length equals the measure of the arc?
The arc length is the radius times the arc degree in radians
What is the difference between arc measure and arc length?
Arc measure is the number of radians. Two similar arcs could have the same arc measure. Arc length is particular to the individual arc. One must consider the radius of the arc in question then multiply the arc measure (in radians) times the radius to get the length.
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 measure of an arc on an angle that is 84 degrees?
84*r*pi/180 units of length where the radius is r units of length.
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.
What is the measure of the central angle if the arc length is 36 and the radius is 9?
It is: 36/18pi times 360 = about 229 degrees
How do you find the radius of a circle if the central angle is 36 degrees and the arc length of the sector is 2 pi cm?
The measure of the central angle divided by 360 degrees equals the arc length divided by circumference. So 36 degrees divided by 360 degrees equals 2pi cm/ 2pi*radius. 1/10=1/radius. Radius=10 cm.
