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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.
If a central angle measures 87 degrees then its arc will measure?
87 degrees
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.
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.
What is the measure of the intercepted arc If a central angle has a measure of 45 degrees?
360 degree
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.
If a central angle measures 87 degrees then its arc will measure?
87 degrees
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
The measure of an angle formed by intersecting chords is of the sum of the measures of the intercepted arcs?
It is the measure of half the intercepted arc.
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 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
If an intercepted arc measures 124 degrees what is the measure of its inscribed angle?
The answer is half the measure, 62°. Have a nice day!
What is the measure of an arc that is intercepted by an inscribed angle of 30 degrees?
60 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.
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.
Does a central angle and its intercepted arc have the same measure?
yes or true
