The answer is given above. Unfortunately, it is in the same invisible ink used for part of your question.
The relation between the arc of length and the central angle is that the arc of length divided by one of the sides is the central angle in radians. If the arc is a full circle, then the central angle is 2pi radians or 360 degrees.
arc length/circumference=central angle/360 1/9=central angle/360 central angle=40
In a circle what is the difference between a central angle and an arc?Read more: In_a_circle_what_is_the_difference_between_a_central_angle_and_an_arc
major arc
Not necessarily. Only if the minor arc is less than 1/4 of the circle. If the minor arc is more than 1/4 of the circle, then the central angle is obtuse.
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.
The relation between the arc of length and the central angle is that the arc of length divided by one of the sides is the central angle in radians. If the arc is a full circle, then the central angle is 2pi radians or 360 degrees.
arc length/circumference=central angle/360 1/9=central angle/360 central angle=40
Central angle
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) .
In a circle what is the difference between a central angle and an arc?Read more: In_a_circle_what_is_the_difference_between_a_central_angle_and_an_arc
major arc
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.
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.
The same as the central angle of the circle
Not necessarily. Only if the minor arc is less than 1/4 of the circle. If the minor arc is more than 1/4 of the circle, then the central angle is obtuse.
minor arc of cord is half of major arc of same cord