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What is the measure of an arc that is intercepted by an inscribed angle of 30 degrees?
60 degrees
If the measure of a tangent-chord angle is 54 degrees then what is the measure of the intercepted arc inside the angle?
108 ;)
The measure of a tangent chord angle is 54 then what is the measure of the intercepted arc inside the angle?
108 degrees
What is the measure of an arc intercepted by an angle formed by a tangent and a chord drawn from the point of tangency if the angle measures 40 degrees?
150
How can you change a central angle into a percentage?
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.
If an angle that has a measure of 51.4 degrees is inscribed in a circle what is the measure of its intercepted?
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.
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.
How do you find the degree measure of a central angle in a circle if both the radius and the length of the intercepted arc are known?
-- Circumference of the circle = (pi) x (radius) -- length of the intercepted arc/circumference = degree measure of the central angle/360 degrees
What is the measure of an arc that is intercepted by an inscribed angle of 30 degrees?
60 degrees
A central angle of a circle of radius 30 cm intercepts an arc of 6 cm Express the central angle in radians and in 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.
If the measure of a tangent-chord angle is 54 degrees then what is the measure of the intercepted arc inside the angle?
108 ;)
The measure of a tangent chord angle is 54 then what is the measure of the intercepted arc inside the angle?
108 degrees
If the measure of a tangent-chord angle is 68 degrees then what is the measure of the intercepted arc inside the angle?
136
The measure of a tangent chord angle is 68 then what is the measure of the intercepted arc inside the angle?
136 degrees
Does a central angle and its intercepted arc have the same measure?
yes or true
If Measure of tangent-chord angle is 74 degrees then what is the intercepted arc inside the angle?
148
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.
