CONGRUENT
the measure of a minor arc equals the measure of the central angle that intercepts it.
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.
Oh, dude, it's like a piece of cake! So, a minor arc is like a slice of pizza, right? And the central angle is like the angle at the center of the pizza. If the minor arc is 155 degrees, then the central angle is also 155 degrees. Easy peasy, lemon squeezy!
To find the measure of each minor arc in a regular decagon inscribed in a circle, we first need to calculate the central angle of the decagon. Since a regular decagon has 10 sides, each interior angle is 144 degrees (180 * (10-2) / 10). The central angle of the decagon is twice the interior angle, so it is 288 degrees. Therefore, each minor arc in the regular decagon inscribed in the circle would measure 288 degrees.
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.
Not necessarily. It can be obtuse. It cannot, however, be a reflex angle.
minor arc of cord is half of major arc of same cord
If the measure of minor arc AC is 96 degrees, then the measure of angle ABC, which is inscribed in the circle and subtends arc AC, can be found using the inscribed angle theorem. This theorem states that the measure of an inscribed angle is half the measure of the arc it subtends. Therefore, the measure of angle ABC is 96 degrees / 2 = 48 degrees.
Minor arc
minor arc
This cannot be answered. This does not make any sense.
minor arc