What is \(\dfrac{5\pi}{4}\) radians in degrees?
225°
Conversion rule: \(\pi \text{ radians} = 180°\), so \(1 \text{ radian} = \dfrac{180°}{\pi}\).
\(\dfrac{5\pi}{4} \text{ radians} = \dfrac{5\pi}{4} \times \dfrac{180°}{\pi} = \dfrac{5 \times 180°}{4} = \dfrac{900°}{4} = 225°\).
Hence, the answer is 225°.
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?
- Convert 1.5 radians to degrees.
- What is the radian measure of $270^{\circ}$?
What is the radian measure of 150°?
- 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.
