30 degrees
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.
The measure of the angle is the number of degrees in this case.
45 degrees :)
87 degrees
150 degrees
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.
The measure of the angle is the number of degrees in this case.
To find the measure of arc JK, we can use the fact that the measure of an angle formed by two chords is half the sum of the measures of the arcs intercepted by the angle. Given that angle JLK is 37 degrees and the arc MN is 45 degrees, we can find arc JK as follows: Measure of angle JLK = (arc JK + arc MN) / 2. Substituting the known values, we have: 37 = (arc JK + 45) / 2. Multiplying both sides by 2 yields: 74 = arc JK + 45. Finally, solving for arc JK gives us: arc JK = 74 - 45 = 29 degrees.
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.
45 degrees :)
Multiply the radius by 2 and then by 3.14. Divide the length of the arc by this answer. Multiply this fraction by 360 degrees. That will be your answer.
The angle measure is: 90.01 degrees
To find the measure of angle EDC, we can use the property that the angle formed by two tangents from a point outside a circle is half the difference of the measures of the intercepted arcs. Angle EDC intercepts arcs EAB and EC, so we calculate it as follows: Angle EDC = 1/2 (measure of arc EAB - measure of arc EC) = 1/2 (195° - 75°) = 1/2 (120°) = 60°. Thus, the measure of angle EDC is 60 degrees.
87 degrees
21 degrees
60 degrees
38