Rewrite 3pi/25 in degree measure. Round to three decimal places.
To rewrite 3π/25 in degree measure, you can convert it using the following formula:
Degree Measure = (180 * Radian Measure) / π
Let's plug in the values:
Degree Measure = (180 * (3π/25)) / π
Simplifying the expression:
Degree Measure = (180 * 3/25)
Degree Measure = 540/25
Degree Measure = 21.6
Therefore, 3π/25 is approximately equal to 21.6 degrees (rounded to three decimal places).
To rewrite the angle 3π/25 in degree measure, we need to convert it from radians to degrees.
We know that π radians is equal to 180 degrees.
So, we can set up the proportion:
π radians = 180 degrees
Now we can solve for our given angle:
3π/25 radians = x degrees
To find x, we cross-multiply and solve for x:
3π x 180 = 25 x
540π = 25x
To isolate x, divide both sides by 25:
540π/25 = x
Since we need to round the degree measure to three decimal places, we can use an approximation for π. Let's use π ≈ 3.1415926535.
Substituting the value of π:
540(3.1415926535) / 25 = x
67.866256319 = x
Rounded to three decimal places, 3π/25 ≈ 67.866 degrees.
here is a simple way to do this
π radians = 180°
π/25 radians = 7.2°
3π/25 radians = 21.6°
rounded off to 3 decimals = 21.600° (silly request)