To find the equivalent of 4pi over 3 radians in degrees. ⇒ 1 radians = 180 / π degree. Hence, we can change it into degree as; ⇒ 1 radians = 180 / π.

Understanding the Context

To convert 4pi/3 radians to degrees divide the angle in radians by pi, then multiply the term by 180°: Degrees = 4pi/3/ pi × 180°. What quadrant is 4pi/3 radians? To convert a radian value into degrees: #color(red)(pi# radians #color(red)(= 180^@# given: #rarr 180^@/pi*(4pi)/3# #rarr 180^@/cancel. To convert 4π/3 radians to degrees divide the angle in radians by pi, then multiply the term by 180°: Degrees = 4π/3/ π × 180°.

Key Insights

What quadrant is 4π/3 radians? Because each quadrant has. To convert a measurement in radians to a measurement in degrees, you need to use a conversion formula. Since pi radians are equal to 180°, the following conversion formula is. 4π/3 radians equals 240°.

Final Thoughts

Use our 'radians to degrees converter' to find the value of 4π/3 radians in degrees or the value of any other angle with solution steps. Keep in mind that #180^@/pi# has a value of #1# , so the answer does not change. We get a conversion factor of #(2pi)/360# #radians/degrees# which can be simplified to #pi/180# #radians/degrees# now to solve the problem #(4pi)/3# * #180/pi# =. To convert radians to degrees, multiply by 180 π 180 π, since a full circle is 360° 360 ° or 2π 2 π radians. ( 4π 11)⋅ 180° π ( 4 π 11) ⋅ 180 ° π. Cancel the common factor of π π.

What is 4 pi 3 radians in degrees? ( 4π 3)r = 240∘. We know that, πr = 180∘. So, ( 4π 3)r = (180 π × 4π.