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What is the length of an arc with a radius of 5 and the central angle is 120 degrees?
Wiki User
∙ 12y ago
Length of arc = pi*radius*angle/180 = 10.47 units (to 2 dp)
Wiki User
∙ 12y ago
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How do you find the chord length with the central angle and radius?
If the central angle is 70 and the radius is 8cm, how do you find out the chord lenght?
How do you find the arc length when the central angle is given?
Well, in degrees, the arc is congruent to its central angle. If the radius is given, however, just find the circumference of the circle (C=πd). Then, take the measure of the central angle, and divide that by 360 degrees. Multiply the circumference by the dividend, and you will get the arc length. This works because it is a proportion. Circumference:Arc length::Total degrees in triangle:Arc's central angle. Hope that helped. :D
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
Is it possible for an arc with a central angle of 30 degrees in one circle to have a greater arc length than an arc with a central angle of 150 degrees in another circle?
It is certainly possible. All you need is a the second circle to have a radius which is less than 20% of the radius of the first.
How do you find a chord length with the central angle and radius given?
If the radius is 8cm and the central angle is 70, how do yu workout the chord lenght?
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.
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.
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 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
Find the length of arc subtended by a central angle of 30 degrees in a circle of radius of 10 cm?
5.23
How do you find the chord length with the central angle and radius?
If the central angle is 70 and the radius is 8cm, how do you find out the chord lenght?
How do you find the arc length when the central angle is given?
Well, in degrees, the arc is congruent to its central angle. If the radius is given, however, just find the circumference of the circle (C=πd). Then, take the measure of the central angle, and divide that by 360 degrees. Multiply the circumference by the dividend, and you will get the arc length. This works because it is a proportion. Circumference:Arc length::Total degrees in triangle:Arc's central angle. Hope that helped. :D
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
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
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
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
Is it possible for an arc with a central angle of 30 degrees in one circle to have a greater arc length than an arc with a central angle of 150 degrees in another circle?
It is certainly possible. All you need is a the second circle to have a radius which is less than 20% of the radius of the first.
