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What is the Coterminal angle of 5pi 2?

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What is the Coterminal angle of 5pi 2?

Trigonometry Examples The resulting angle of π2 π 2 is positive, less than 2π 2 π , and coterminal with 5π2 5 π 2 . Since π2 is in the first quadrant, the reference angle is π2 .

How many degrees is 5pi?

150 degrees

What angle is 5pi 6?

150 degree

What is 270 degrees in radians in terms of pi?

Therefore, the 270 degrees can be written as 3π2 radians.

What is 5 pi divided by 6 in degrees?

2 Answers By Expert Tutors The most common conversion factor from radians to degrees is (180/∏); then we have to multiply (5∏/6) by this factor, and we obtain 150 degrees.

How many degrees is 7 π 6 radians?

210°

What is a 120 degree angle called?

Obtuse Angle Measure = (180 – acute angle measure) In the picture above, line segment DO intersects line segment OQ at point O and forms an angle DOQ measuring 120°. Thus, it is an obtuse angle.

What is 240 degrees in radians in terms of pi?

1 Answer. Manikandan S. 2400=3π2.

How many radians is 360 degrees in terms of pi?

Radians and Degrees

Degrees Radians (exact) Radians (approx)
90° π/2 1.571
180° π 3.142
270° 3π/2 4.712
360° 6.283

Why is 360 degrees 2 pi radians?

It follows that the magnitude in radians of one complete revolution (360 degrees) is the length of the entire circumference divided by the radius, or 2πr / r, or 2π. Thus 2π radians is equal to 360 degrees, meaning that one radian is equal to 180/π ≈ degrees.

Is PI 360 degrees?

A circle has 360 degrees or 2pi radians — going all the way around is 2 * pi * r / r. So a radian is about 360 /(2 * pi) or 57.3 degrees.

Why are there 360 degrees in a circle?

Why Is A Full Circle 360 Degrees, Instead Of Something More Convenient, Like 100? A full circle is 360 degrees because of the Babylonian’s usage of the sexagesimal system, number of days in a year and also because 360 is highly composite.

How do you convert degrees to radians examples?

To convert degrees to radians, we multiply the given angle (in degrees) by π/180….

  1. 0° x π/180. = 0 Rad.
  2. 30° x π/180. = π/6. = 0.5 Rad.
  3. 45° x π/180. = π/4. = 0.785 Rad.
  4. 60° x π/180. = π/3. = 1.047 Rad.
  5. 90° x π/180. = π/2. = 1.571Rad.
  6. 120° x π/180. = 2π/3. = 2.094 Rad.
  7. 150° x π/180. = 5π/6. = 2.618 Rad.
  8. 180° x π/180. = π = 3.14 Rad.

What is the number of degrees in an angle whose measure is 2 radians?

, Sal says that 2pi radians is 360 degrees. When you do basic geometry, 2pi radius (radii) is 360 degrees.

What is the degree measure of 2?

Since an angle of 2 has degree measure 360° it follows that an angle of 1 radian has degree measure (180/ )°.

How many degrees is pi 6 radians?

Table of angles

Degrees Radians Binary Radians ( brad )
30° Pi / 6 5461
36° Pi / 5 6554
45° Pi / 4 8192
57.296° 1 10430