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What is the relation between the arc length and angle for a sector of a circle?
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.
Name the major arc formed by angle DPV?
DBV
What is the name of a 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.
What is an adjacent arc?
it is an arc of an angle that is adjacent
Complement of an angle?
The angle or arc that when added to a given angle or arc equals a right angle in measureThat is, for any angle x less than 90º, the complement of xº = (90 - x)º. For example, the complement of 15º is (90 - 15 =) 75º.Here's a related answer for free: the supplement of an angle x is 180º - x.
An angle subtended by an arc is double at the center?
an angle subtended by an arc is double at the center
What is the arc formed where a Central angle in a circle intersects the circle itself?
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.
A line in hyperbolic geometry is an arc which intersects the boundary of the Poincaré Disk at a right angle?
true
Line in hyperbolic geometry is an arc which intersects the boundary of the Poincaré Disk at a right angle?
True
What is the measure of an inscribed angle that intercepts an arc whose measure is 70?
35 I believe.
What is the name of the arc that lies betwen the sides of an obtuse inscribed angle?
It can have any name that you care to give it.
If the measure of a minor arc is 155 what is the measure of its central angle?
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!
