Rewrite each degree measuring in radians and each radian measure in degrees. 324˚
well,
π radians = 180°
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To rewrite 324˚ in radians, we need to use the conversion factor that states there are π radians in 180 degrees.
First, we'll convert 324˚ to radians:
1. Multiply 324˚ by the conversion factor:
324˚ * (π radians / 180˚) = (324π / 180) radians
Now, let's simplify it:
2. Divide both the numerator and denominator by their greatest common divisor (which is 36 in this case):
(9π / 5) radians
So, 324˚ is equivalent to (9π / 5) radians.
To rewrite each radian measure in degrees, we'll use the reverse conversion factor, which states that there are 180 degrees in π radians.
Using the same steps as before, we'll convert a radian measure to degrees:
1. Multiply the radian measure by the conversion factor:
radian measure * (180˚ / π radians)
For example, to convert (9π / 5) radians to degrees:
(9π / 5) radians * (180˚ / π radians) = (9 * 180 / 5)˚
Now, let's simplify it:
2. Calculate the multiplication and division:
(1620 / 5)˚ = 324˚
So, (9π / 5) radians is equivalent to 324˚.