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solves your problem and answers your question without ever seeing the drawing
that's supposed to go along with it, and with no idea what 'BC' and 'ab' are . . .
-- A whole circle has a central angle of 360 degrees.
-- A whole circle with a radius of 10 has a circumference of [ (2 pi) x (radius) ] = 20 pi .
-- A slice of cake with a central angle of 120 degrees is 1/3 of a circle.
-- The arc at the fat end of the slice is 1/3 of the full circle's circumference = 20 pi/3 = 20.944 (rounded)
-- Just in case 'BC' is the long arc, then its length is the other 2/3 of the whole circle
= 2 x 20 pi/3 = 41.888 (rounded)
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Pi and radius
If the central angle is 70 and the radius is 8cm, how do you find out the chord lenght?
If the radius is 8cm and the central angle is 70, how do yu workout the chord lenght?
The answer depends on what information you do have: radius, arc length, central angle etc.
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
You can use the cosine rule and the three lengths of the triangle to find the central angle X, (in radians). Then the length of the arc is r*X units.
If the central angle is 70 and the radius is 8cm, how do you find out the chord lenght?
(arc length / (radius * 2 * pi)) * 360 = angle
If the radius is 8cm and the central angle is 70, how do yu workout the chord lenght?
The answer depends on what information you do have: radius, arc length, central angle etc.
You also need the measure of the central angle because arc length/2pi*r=measure of central angle/360.
-- Circumference of the circle = (pi) x (radius) -- length of the intercepted arc/circumference = degree measure of the central angle/360 degrees
With the information given, you cannot. You need the radius or the central angle.
5.23
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
The arc length divided by the radius is the angle in radians. To convert radians to degrees, multiply by (180/pi).
you will need to know the angle subtended by the arc; arc length = radius x angle in radians
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.