Length of arc = pi*radius*angle/180 = 10.47 units (to 2 dp)
If the central angle is 70 and the radius is 8cm, how do you find out the chord lenght?
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
It is: 36/18pi times 360 = about 229 degrees
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.
If the radius is 8cm and the central angle is 70, how do yu workout the chord lenght?
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 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.
Yes. Besides the included angle, arc length is also dependant on the radius. Arc length = (Pi/180) x radius x included angle in degrees.
-- Circumference of the circle = (pi) x (radius) -- length of the intercepted arc/circumference = degree measure of the central angle/360 degrees
5.23
If the central angle is 70 and the radius is 8cm, how do you find out the chord lenght?
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
If this is a central angle, the 72/360 x (2xpix4) = 5.024
It is: 36/18pi times 360 = about 229 degrees
(arc length / (radius * 2 * pi)) * 360 = angle
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
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.