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What else can I help you with?
What is an Arc cut off by a central angle called?
Intercepted arc I believe
What is the measure of the intercepted arc If a central angle has a measure of 45 degrees?
360 degree
True or false The measure of a tangent-tangent angle is half the difference of the measures of the intercepted arcs.?
True. The measure of a tangent-tangent angle is indeed half the difference of the measures of the intercepted arcs. This theorem applies to angles formed outside a circle by two tangents that intersect at a point, providing a relationship between the angle and the arcs it intercepts.
If the radius of a circle is m what is the length of an arc of the circle intercepted by a central angle of pi radians?
The length of an arc ( L ) of a circle can be calculated using the formula ( L = r \theta ), where ( r ) is the radius and ( \theta ) is the central angle in radians. Given that the radius is ( m ) and the central angle is ( \pi ) radians, the arc length is ( L = m \cdot \pi ). Therefore, the length of the arc intercepted by a central angle of ( \pi ) radians is ( m\pi ).
The measure of in a circle is half the measure of the intercepted arc.?
In a circle, the measure of an inscribed angle is indeed half the measure of the intercepted arc. This means that if you have an angle formed by two chords that intersect on the circle, the angle's measure will be equal to half the degree measure of the arc that lies between the two points where the chords meet the circle. This relationship is a fundamental property of circles in Euclidean geometry.
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.
Does a central angle and its intercepted arc have the same measure?
yes or true
If the radius of a circle is doubled how is the length of the arc intercepted by a fixed central angle changed?
If the radius of a circle is tripled, how is the length of the arc intercepted by a fixed central angle changed?
What is an Arc cut off by a central angle called?
Intercepted arc I believe
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.
What is the measure of the intercepted arc If a central angle has a measure of 45 degrees?
360 degree
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 relationship between the measure of a central angle of a polygon and the measures of an interior and an exterior angle of the polygon?
The interior angle and central angle are supplementary, that is they always add up to 180 degrees, while the exterior angle and the central angle will always be the same.
What is the formula of a central angle of a circle?
Central angle of a circle is the same as the measure of the intercepted arc. davids1: more importantly the formulae for a central angle is π=pi, R=radius Central Angle= Arc Length x 180 / π x R
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.
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.
The measure of in a circle is half the measure of the intercepted arc.?
In a circle, the measure of an inscribed angle is indeed half the measure of the intercepted arc. This means that if you have an angle formed by two chords that intersect on the circle, the angle's measure will be equal to half the degree measure of the arc that lies between the two points where the chords meet the circle. This relationship is a fundamental property of circles in Euclidean geometry.
