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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 235 degrees expressed in radian measure?
1800 is pi radians, 2350 is 1.3055 times 180 so 1.3055 times pi radians or 4.10 to the nearest hundredth.
What is the measure of the central angle of a circle with the arc length of 29.21 and the circumference of 40.44?
arc length/circumference = central angle/2*pi (radians) So, central angle = 2*pi*arc length/circumference = 4.54 radians. Or, since 2*pi radians = 360 degrees, central angle = 360*arc length/circumference = 260.0 degrees, approx.
What is the radian measure of an angle whose measure is 420?
It is 420/180*pi radians = 2.33... *pi radians or 7.3304 radians (approx).
Convert 5 radians to degrees accurate to the nearest degree?
5 radians = 286 degrees.
How do you measure angles in radians?
well you don't get many preotractors in radians so just measure the angle in degrees. To convert this to radians you then have to divide by 180 then times by pi. This is because 180 degrees= pi radians.
Where are radians used?
Wherever you want to measure and calculate angles you can use radians
What is the measure of an angle that is 93 degrees?
93π/180 radians (about 1.623 radians)
Convert 60 to radians rounded to the nearest hundredth?
60.00
What is the radian measure of -288?
-288 radians is exactly -288 radians: no more, no less!
What is the measure of the supplementary angle to 2.47 radians?
It is pi - 2.47 = 0.67 radians (approx).
How does radian measure is related to degree measure?
In radian measure, 2pi radians is a full circle. In degrees, 360° is a full circle, so 2pi radians = 360°. If you want to convert: Radians = (2*pi/360)*Degrees = (pi/180)*degrees. And Degrees = (180/pi)*Radians.
