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How do you find angle in degrees when having a set arc length and radius?
Wiki User
∙ 10y ago
Angle = Arc length * 360/(2*pi*r) = 180/(pi*r) where r is the radius.
Wiki User
∙ 10y ago
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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).
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.
What is the arc length of a circle with a central angle of 165 degrees and a radius of 3?
You need to convert the angle to radians and then multiply by the radius arc length = s = radius x angle angle = 165/180 x 3.14 = 2.88 radians s = 3 x 2.88 = 8.64 inch
Find the length of arc subtended by a central angle of 30 degrees in a circle of radius of 10 cm?
5.23
What is the arc length of the subtending arc for an angle of 72 degrees on a circle of radius 4?
If this is a central angle, the 72/360 x (2xpix4) = 5.024
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).
What is the length of the minor arc if the angle is 30 degrees?
It's 0.524 of the length of the radius.
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)
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 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
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.
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.
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.
How do you figure the length of an arc?
If you know the radius and the angle (in radians) then r*x where r = radius, x = angle. If the angle is in degrees, then pi*r*x/180 Otherwise you have to measure it.
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
What is the arc length of a circle with a central angle of 165 degrees and a radius of 3?
You need to convert the angle to radians and then multiply by the radius arc length = s = radius x angle angle = 165/180 x 3.14 = 2.88 radians s = 3 x 2.88 = 8.64 inch
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.
