Radians and degrees are two different measuring systems, which are used to measure the angle. The SI unit of angle is the radian. One radian would be written as 1 rad, or simply 1. And, one degree would be written as 1°. We can convert between radian and degree using the following formula.
t=πx/180° x=180°t/π
Question 1: Write π/3 radians in degrees.
Answer: 60°
Explanation: Plug the value in the formula.
Question 2: Write 3π/2 radians in degrees.
Answer: 270°
Explanation: Plug the value in the formula.
Question 3: Convert 30° into radians. Write in terms of π.
Answer: π/6
Explanation: Plug the value of the angle in radianss.
Question 4: Convert 120° into radians. Write in terms of π.
Answer: 2π/3
Explanation: Plug the value of the angle in radians.
Question 5: In a circle, having a center at O, COD=5π/4. Write this measure in terms of degrees.
Answer: 225°
Explanation: Plug the value in the formula
Question 6: In a circle, having a center at O, BOD=150°. Write this measure in terms of radians.
Answer: 5π/3
Explanation: Plug the value of the angle in radians.
Question 7: Convert 5 radians to degrees.
Answer: 286.62°
Explanation: Plug the value in the formula.
Question 8: Convert 75° into radians.
Answer: 1.3
Explanation: Plug the value of the angle in radians.
Question 9: Convert 440° into radians.
Answer: 7.68
Explanation: Plug the value of the angle in radians.
Question 10: Convert 9 radians to degrees. Use π =3.14
Answer: 515.92°
Explanation: Plug the value in the formula
Take Radians to Degrees Homework Help Today!
Question 1: How to convert radians to degrees?
Angle is measured in degree and radians. One complete angle is equal to 2π in radian form and 360° in degrees form. So, relation between radian and degree is
2π radians = 360° and
π radians = 180°
1 Radian = 180°/π
Question 2: When to use degrees or radians?
Angle is a part of a circle and a circle's diameter is equivalent to the radian. We want to make sure we are talking about (C=πD or C=2πr=C/r =2π) ratio whether we're working with circles or portions of circles. As a result, the word radians is always used to represent this ratio.
Question 3: How many radians is 180°?
One complete angle is equal to 2π in radian form and 360° in degrees form. So, relation between radian and degree is
360°=2π radians
180°=π radians