Yes.
Besides the included angle, arc length is also dependant on the radius.
Arc length = (Pi/180) x radius x included angle in degrees.
the measure of a minor arc equals the measure of the central angle that intercepts it.
tsk tsk........ you should be doing your homework by yourself. the people on the internet shouldn't be doing it. im disapointed in you.
The entire circumference has a central angle of 360 degrees. The arc is a fraction of the circumference. The fraction is (central angle) divided by (360). So the arc length is: (circumference) x (central angle) / (360) .
The angle measure is: 90.01 degrees
If angle 1 is the central angle BOC which intersects the arc BC, then 2x + 3 = 5x - 17 because a central angle has the same numbers of degrees as the arc it intercepts. 2x + 3 = 5x - 17 20 = 3x 20/3 = x Thus, x is 6 2/3 degrees.
CONGRUENT
In a circle, a central angle is formed by two radii. By definition, the measure of the intercepted arc is equal to the central angle.
Central angle
No.
Examples to show how to use the property that the measure of a central angle is equal to the measure of its intercepted arc to find the missing measures of arcs and angles in given figures.
the measure of a minor arc equals the measure of the central angle that intercepts it.
An arc can be measured either in degree or in unit length. An arc is a portion of the circumference of the circle which is determined by the size of its corresponding central angle. We create a proportion that compares the arc to the whole circle first in degree measure and then in unit length. (measure of central angle/360 degrees) = (arc length/circumference) arc length = (measure of central angle/360 degrees)(circumference) But, maybe the angle that determines the arc in your problem is not a central angle. In such a case, find the arc measure in degree, and then write the proportion to find the arc length.
You also need the measure of the central angle because arc length/2pi*r=measure of central angle/360.
155
The same as the central angle of the circle
38
360 degree