230
major arc
The arc length is the radius times the arc degree in radians
A major arc must measure over 180 degrees, or pi radians
An arc whose measure is less than 180 degrees is called a Minor Arc.
-- Circumference of the circle = (pi) x (radius) -- length of the intercepted arc/circumference = degree measure of the central angle/360 degrees
To find the measure of a major arc in a circle, first determine the measure of the corresponding minor arc, which is the smaller arc connecting the same two endpoints. The measure of the major arc is then calculated by subtracting the measure of the minor arc from 360 degrees. For example, if the minor arc measures 120 degrees, the major arc would measure 360 - 120 = 240 degrees.
the measure of a minor arc equals the measure of the central angle that intercepts it.
It depends on what measure related to the arc you want to find!
the answer is 98
You find the arc measure and then you divide it in half to find the inscribed angle
divide the measure of the arc by 360
30 degrees
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.
you have a triangle formed by the radius on 2 and the chord on the other. the angle in that triangle that is opposite the chord, find its measure in radians take that measure (in radians) and multiply it by the radius to get the arc length
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.
Bfe= 67 FCI=113
The measure of an inscribed angle is half the measure of its intercepted arc. This means that if you know the degree measure of the arc that lies between the two points on the circle where the inscribed angle's rays intersect the circle, you can find the angle's measure by dividing the arc's measure by two. This relationship holds true for any inscribed angle and its corresponding intercepted arc in a circle.