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What is 225 degrees as a fraction?
To express 225 degrees as a fraction, we must first convert it to radians by multiplying by π/180 since there are π radians in 180 degrees. This gives us 225π/180. Next, we simplify the fraction by dividing both the numerator and denominator by the greatest common divisor, which is 45. Therefore, 225 degrees is equivalent to 5π/4 in radians.
How do you convert radians to exact numbers?
the formula to convert degrees to radiansangle in radians = angle in degrees * Pi / 180 .
What fraction is 30 degrees?
In terms of a complete circle, 30 degrees represents 1/12 of the total 360 degrees. This can be simplified to 1/12. Alternatively, in terms of radians (the standard unit of angular measurement in mathematics), 30 degrees is equivalent to π/6 radians.
Can angles have a decimal?
Well, honey, angles are usually measured in degrees, which are whole numbers. But if you're feeling fancy and want to get technical, sure, you can have decimal angles when you start diving into radians. So, in short, angles can have decimals if you're willing to shake things up a bit.
Find the angular displacement of 15.2 revolutions round to the nearest tenth?
It is 95.5 radians.
What is 110 degrees as a fraction?
191/625
How would you find a fraction of a circle that an arc covers?
The fraction of a circle that an arc covers is the angle of the arc divided by 2*pi radians, or divided by 360 degrees if you prefer Imperial Units.
What is 225 degrees as a fraction?
To express 225 degrees as a fraction, we must first convert it to radians by multiplying by π/180 since there are π radians in 180 degrees. This gives us 225π/180. Next, we simplify the fraction by dividing both the numerator and denominator by the greatest common divisor, which is 45. Therefore, 225 degrees is equivalent to 5π/4 in radians.
What is 45 degrees converted to radians?
180° = π radians → 45° = π × 45°/180° radians = π/4 radians
What fraction of a turn is 270?
Assuming that you mean 270 degrees and not radians or any of the other angular measures, the answer is 3/4.
What is 2115 degrees in radians?
pi [radians] = 180 [degrees] 1 [degree] = pi/180 [radians] = 0.0174533 [radians] therefore, 2115 [degrees] = 2115 [degrees] * 0.0174533 [radians/degree] = 36.9 [radians]
The measures of angles of a quadrilateral are in the ratio 2 3 6 7 find their measures in degrees and in radians?
The angles are: 40° = 2π/9 radians ≈ 0.698 radians, 60° = π/3 radians ≈ 1.047 radians 120° = 2π/3 radians ≈ 2.094 radians, and 140° = 7π/9 radians ≈ 2.443 radians. There are 2 + 3 + 6 + 7 = 18 parts. The sum of the angles in a quadrilateral are 360° → each part is 360° ÷ 18 = 20° → the angles are: 2 x 20° = 40° 3 x 20° = 60° 6 x 20° = 120° 7 x 20° = 140° A full circle is 2π radians → 360° = 2π radians → 1° = π/180 radians → 40° = 40 x π/180 radians = 2π/9 radians ≈ 0.698 radians → 60° = 60 x π/180 radians = π/3 radians ≈ 1.047 radians → 120° = 120 x π/180 radians = 2π/3 radians ≈ 2.094 radians → 140° = 140 x π/180 radians = 7π/9 radians ≈ 2.443 radians
Convert 16.75 radians to revolutions?
One revolution = 2Pi radians 16.75 radians / 2Pi radians/rev ~= 2.666 revolutions
What is 220 degrees in radians?
12/9 pi or 3.83972 radians (rounded)
Convert degrees to radians 47.6925 degrees to radians?
47.6925 deg = 83.24 radians.
What is 35 degrees in radians?
To convert degrees to radians, you can use the formula: radians = degrees * (π/180). Therefore, 35 degrees is approximately 0.6109 radians.
What is 100degrees converted into radians?
1.745 radians.
