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Is the measure of an arc equal to the measure of its central angle?
Wiki User
∙ 12y ago
Yes.
Besides the included angle, arc length is also dependant on the radius.
Arc length = (Pi/180) x radius x included angle in degrees.
Wiki User
∙ 12y ago
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How do you find measure of minor arc?
the measure of a minor arc equals the measure of the central angle that intercepts it.
If an arc has the given degree measure what is the measure of the central angle that intercepts the arc?
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How do you find the length of the arc of a circle with only the measurement of the central angle and the Circumference?
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) .
If the arc on a particular circle has an arc length of 12 inches and the circumference of the circle is 48 inches what is the angle measure of the arc?
The angle measure is: 90.01 degrees
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.
Is the measure of a minor arc equal to the measure of its central angle?
CONGRUENT
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
Is the measure of an arc congruent to the measure of its central angle?
No.
What measure of a intercepted arc?
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.
How do you find measure of minor arc?
the measure of a minor arc equals the measure of the central angle that intercepts it.
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.
How do you find the radius when the arc length IS GIVEN?
You also need the measure of the central angle because arc length/2pi*r=measure of central angle/360.
If the measure of a minor arc is 155 what is the measure of its central angle?
155
If a central angle measures 87 and deg then its arc will measure .?
The same as the central angle of the circle
If the measure of a central angle is 76 degrees then what is the measure of the arc it creates?
38
What is the measure of the intercepted arc If a central angle has a measure of 45 degrees?
360 degree
