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What is the arc length of the minor arc if the central angle is 150 and the circumference is 31.4?
Minor arc/Circumference = 150/360 Minor arc = 31.4*150/360 = 13.0833...
What type of arc lies between the two sides of a central angle and measures less than 180 degrees?
Minor arc
What is a central angle and what is the relationship of the central angle and the intercepted arc?
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.
What angle has the same measure as its arc?
Central angle
How do you find the arc length with the angle given?
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.
Is the central angle of a minor arc an acute angle?
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.
What is an arc that lies between the sides of an acute central angle called?
minor arc
Is a central angle of a minor arc always an acute angle?
Sometimes~ Minor arcs have central angles less than 180 degrees because 180 is a semi-circle and above 180 is a major arc. An acute angle is less than 90 degrees, so this is only true sometimes.
What kind of arc lies between the acute central angle?
An acute central angle will subtend an acute arc, or one that is less than 1/4 of the whole circle.
Is it true an acute angle inscribed in a circle must intercept a minor arc?
No, because there is no acute angle in a circle.
What is the relation between inscribed angle and central angle of minor arc?
minor arc of cord is half of major arc of same cord
How do you find measure of minor arc?
the measure of a minor arc equals the measure of the central angle that intercepts it.
What is An arc that lies between the two sides of a central angle called?
minor arc
An arc that lies between the two sides of a central angle is called a?
Minor arc
What is the arc length of the minor arc if the central angle is 150 and the circumference is 31.4?
Minor arc/Circumference = 150/360 Minor arc = 31.4*150/360 = 13.0833...
Is the measure of a minor arc equal to the measure of its central angle?
CONGRUENT
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!
