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Answer:
pi/180°
Step-by-step explanation:
A full circle of 360 degrees is 2 pi radians.
Dividing by 2, 180 degree is pi radians.
180 degrees = pi radians
Divide both sides of the above equation by 180 degrees.
(180 degrees)/(180 degrees) = (pi radians)/(180 degrees)
1 = pi/180°
Since pi/180° equals 1, you can multiply it by a number an not change the value of a number just like 1 time 5 is still 5.
45° * (pi/180°) will convert 45 degrees to radians.
Answer: pi/180°
The expression that converts 45 degrees to radians is [tex]pi \div 180 degrees[/tex].
The following information should be considered:
- The full circle that contains 360 degrees is 2 pi radians.
- If we divided it by 2 so it comes 180 degrees.
i.e.
pi radians = 180 degrees
Now divide 180 degrees to both the sides.
So
[tex]1 = pi \div 180^{\circ}[/tex]
It does not change the value of the number. It just remains the same.
Therefore, the fourth option is correct.
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