Converting Radians to Degrees
To convert an angle from radians to degrees, use the conversion factor $\frac{180^\circ}{\pi}$. The formula is:
Degrees = Radians $\times \frac{180^\circ}{\pi}$
Calculation Steps
-
Identify the angle in radians: The given angle is 1.5 radians.
-
Apply the conversion formula: Substitute 1.5 into the formula.
Degrees = $1.5 \times \frac{180^\circ}{\pi}$
-
Perform the multiplication:
Degrees = $\frac{1.5 \times 180^\circ}{\pi} = \frac{270^\circ}{\pi}$
-
Calculate the final value:
Using the approximate value of $\pi \approx 3.14159$, we get:
Degrees $\approx \frac{270^\circ}{3.14159} \approx 85.943669^\circ$
-
Round the result:
Rounding to two decimal places, the angle is approximately $85.94^\circ$.
Therefore, 1.5 radians is approximately $85.94^\circ$.
Similar Questions
A sector has a central angle of 135° and a radius of 8 cm. Another sector of the same circle has a central angle of \(\dfrac{3\pi}{4}\) radians. What is the ratio of the area of the first sector to the area of the second sector?
Convert 2.5 radians to degrees.
A sector of a circle having a radius of 10 cm and has a central angle of \(\frac{3\pi}{4}\) radians. What is the area of the sector?
- Convert 0.5 radians to degrees.
Convert \(\frac{2\pi}{3}\) radians to degrees.
What is \(\frac{3\pi}{4}\) radians in degrees?
- What is the radian measure of $270^{\circ}$?
What is the radian measure of 150°?
What is \(\dfrac{5\pi}{4}\) radians in degrees?
- Convert 3 radians to degrees.
Important Questions from Angles and measures in degrees and radians
If P = sin20 θ + cos48 θ, then the inequality that holds for all values of θ is
Express \({\pi\over 12}\) radians in degrees.
- Which of the following angles is same as 135° ?
- Which of the following is the best approximated degree measure of 4 radians?
30 degree is equal to _________ radians.
