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16y ago

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What is the formula for calculating the central angle given chord length and radius?

You can use the cosine rule to calculate the central angle.


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


How do you find the measure of a central angle from the radius?

To find the measure of a central angle in a circle using the radius, you can use the formula for arc length or the relationship between the radius and the angle in radians. The formula for arc length ( s ) is given by ( s = r \theta ), where ( r ) is the radius and ( \theta ) is the central angle in radians. Rearranging this formula, you can find the angle by using ( \theta = \frac{s}{r} ) if you know the arc length. In degrees, you can convert radians by multiplying by ( \frac{180}{\pi} ).


What is a central angle?

Central Angle An angle in a circle with vertex at the circle's center.


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 solve the arc length given only the central angle?

To solve for the arc length when given only the central angle, you also need the radius of the circle. The formula for arc length ( L ) is given by ( L = r \theta ), where ( r ) is the radius and ( \theta ) is the central angle in radians. If the angle is provided in degrees, convert it to radians by using the formula ( \theta_{\text{radians}} = \theta_{\text{degrees}} \times \frac{\pi}{180} ). Once you have both the radius and the angle in radians, you can calculate the arc length.


What is an angle formed by two radii of a circle called?

central angle central angle


What is an angle in a circle whose vertex is at the center of the circle?

Central Angle


What is the formula of an Vertical angle?

what is the formula for a vertical angle


What is the measure of a central angle of a regular twelve-sided polygon?

The measure of a central angle of a regular twelve-sided polygon (dodecagon) can be calculated using the formula ( \frac{360^\circ}{n} ), where ( n ) is the number of sides. For a dodecagon, ( n = 12 ), so the central angle measures ( \frac{360^\circ}{12} = 30^\circ ). Thus, each central angle in a regular dodecagon is 30 degrees.


Circumference equals 9 and arc length is 1 what is the central angle?

arc length/circumference=central angle/360 1/9=central angle/360 central angle=40


How do you find the measure of the central angle?

the measure of the inscribed angle is______ its corresponding central angle