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It is: 36/18pi times 360 = about 229 degrees

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Q: What is the measure of the central angle if the arc length is 36 and the radius is 9?
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Related questions

How do you find the radius when the arc length IS GIVEN?

You also need the measure of the central angle because arc length/2pi*r=measure of central angle/360.


Is the measure of an arc equal to the measure of its central angle?

Yes. Besides the included angle, arc length is also dependant on the radius. Arc length = (Pi/180) x radius x included angle in 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


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.


How do you find the chord length with the central angle and radius?

If the central angle is 70 and the radius is 8cm, how do you find out the chord lenght?


How do you find the central angle of a circle if I am given the arc length and radius?

(arc length / (radius * 2 * pi)) * 360 = angle


What is the measure of radius is 9 of a central angle?

445


How do you find a chord length with the central angle and radius given?

If the radius is 8cm and the central angle is 70, how do yu workout the chord lenght?


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


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?


How do you draw an arc with a given length and known radius?

The length of an arc equals he angle (in radians) times the radius. Divide the length by the radius, and that gives you the ange. Measure out the angle on a protractor and draw the length of the radius at the begining and end of the angle. Then draw theportion of the circle with its center at the location ofthe angle and extending out to the radius.


What is the length of the arc formed by central angle 2x?

If the angle is 2x radians then the length of the arc is 2x*r units where the radius of curvature is r units. If you measure the angle in degrees, then the length of the arc is pi*x*r/90 units.