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.
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) .
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 angle measure is: 90.01 degrees
A sector is the area enclosed by two radii of a circle and their intercepted arc, and the angle that is formed by these radii, is called a central angle. A central angle is measured by its intercepted arc. It has the same number of degrees as the arc it intercepts. For example, a central angle which is a right angle intercepts a 90 degrees arc; a 30 degrees central angle intercepts a 30 degrees arc, and a central angle which is a straight angle intercepts a semicircle of 180 degrees. Whereas, an inscribed angle is an angle whose vertex is on the circle and whose sides are chords. An inscribed angle is also measured by its intercepted arc. But, it has one half of the number of degrees of the arc it intercepts. For example, an inscribed angle which is a right angle intercepts a 180 degrees arc. So, we can say that an angle inscribed in a semicircle is a right angle; a 30 degrees inscribed angle intercepts a 60 degrees arc. In the same or congruent circles, congruent inscribed angles have congruent intercepted arcs.
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.
A central angle is an angle whose vertex is at the center of a circle and whose sides (or rays) extend to the circumference, effectively subtending an arc on the circle. The measure of a central angle is equal to the measure of the arc it subtends. For example, if the central angle measures 60 degrees, the arc it subtends will also measure 60 degrees.
The arc formed where a central angle intersects the circle is called a "major arc" or "minor arc," depending on the size of the angle. The minor arc is the shorter path between the two points where the angle intersects the circle, while the major arc is the longer path. The measure of the arc in degrees is equal to the measure of the central angle that subtends it.
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.
The same as the central angle of the circle
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