Q: What is the measure of the intercepted arc If a central angle has a measure of 45 degrees?

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60 degrees

108 degrees

108 ;)

150

360 degrees = 100% so divide the angle's measure, in degrees, by 3.6.360 degrees = 100% so divide the angle's measure, in degrees, by 3.6.360 degrees = 100% so divide the angle's measure, in degrees, by 3.6.360 degrees = 100% so divide the angle's measure, in degrees, by 3.6.

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102.8 degrees I think but it depends. If the angle is a central angle it is 51.4 degrees but other than that I think it would be 102.8 degrees.

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.

-- Circumference of the circle = (pi) x (radius) -- length of the intercepted arc/circumference = degree measure of the central angle/360 degrees

A central angle is measured by its intercepted arc. Let's denote the length of the intercepted arc with s, and the length of the radius r. So, s = 6 cm and r = 30 cm. When a central angle intercepts an arc whose length measure equals the length measure of the radius of the circle, this central angle has a measure 1 radian. To find the angle in our problem we use the following relationship: measure of an angle in radians = (length of the intercepted arc)/(length of the radius) measure of our angle = s/r = 6/30 = 1/5 radians. Now, we need to convert this measure angle in radians to degrees. Since pi radians = 180 degrees, then 1 radians = 180/pi degrees, so: 1/5 radians = (1/5)(180/pi) degrees = 36/pi degrees, or approximate to 11.5 degrees.

60 degrees

136 degrees

136

108 degrees

108 ;)

yes or true

148

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.