What is the radian measure of 47 degree 30 minutes?
-47(1/2)° = (π/180) × (-95/2) = (-19π/72) radian. Hence, -47°30′ is equals to -19π/72 radian.
What is the radian measure of degree 30 minute?
Now we have $110{}^\circ 30’$, so we have to convert 30 minute to degree. Now we will use the formula that helps us to convert degree into radian. Hence, the answer to this question is $\dfrac{221\pi }{360}$ .
What is the value of 240 degrees in radian measure?
Manikandan S. 2400=3π2.
How do you express an angle in radians?
To convert degrees to radians, first convert the number of degrees, minutes, and seconds to decimal form. Divide the number of minutes by 60 and add to the number of degrees. So, for example, 12° 28′ is 12 + 28/60 which equals 12.467°. Next multiply by π and divide by 180 to get the angle in radians.
How do you convert 7pi 6 to degrees?
In degrees, 7π6 is 210° .
What is the radian measure of?
One radian is the measure of a central angle that intercepts an arc s equal in length to the radius r of the circle. Since the circumference of a circle is 2πr , one revolution around a circle of radius r corresponds to an angle of 2π radians because sr=2πrr=2π radians.
How do you convert 6 radians to degrees?
∴6 radians are equal to 180∘227×6=180∘×722×6=3780∘11=343.6 degree.
How many radians is 150?
Degrees to radians conversion table
| Degrees (°) | Radians (rad) | Radians (rad) |
|---|---|---|
| 150° | 5π/6 rad | 2.6179938780 rad |
| 180° | π rad | 3.1415926536 rad |
| 270° | 3π/2 rad | 4.7123889804 rad |
| 360° | 2π rad | 6.2831853072 rad |
How many radians is 240 degrees in pi?
How many radians is 240 degrees? As one full circle of 360 degrees equals 2pi, 240 degrees = 240/360 × 2pi = 4/3 pi rad.
Why is 180 degrees pi?
It’s because the circumference of a circle is 2pi x r. If you draw a circle of radius 1 unit (1cm, 1 inch, or 1 anything else), and then measure the length of an arc of 180 degrees (ie.
Why do we convert degrees to radians?
Degree (a right angle is 90 degrees) and gradian measure (a right angle is 100 grads) have their uses. The length of the arc subtended by the central angle becomes the radian measure of the angle. This keeps all the important numbers like the sine and cosine of the central angle, on the same scale.