i have to draw a flat unit circle all the way to 4 pi in radians. i can get to 2 pi but i have trouble finding the radians if i went one more time around the unit circle.
what's the trouble? Just trace the circle twice. If you have to label some points along the way, just label each marked point with two values:
pi/2,5pi/2
and so on
To draw a flat unit circle with an angle of 4π radians, you need to understand the relationship between radians and revolutions.
A complete revolution around the unit circle is equivalent to an angle of 2π radians, which represents the circumference of the circle. This is because the circumference of a circle is equal to 2π times the radius, and since the radius of the unit circle is 1, the circumference is 2π.
To find the angle in radians for one more revolution around the unit circle, you simply need to add another 2π to the existing angle.
So, to get to 4π radians, you can follow these steps:
1. Start with the initial angle of 2π radians, representing one complete revolution around the unit circle.
2. Add another 2π radians to this angle:
2π + 2π = 4π radians
Thus, drawing a flat unit circle all the way to 4π radians requires two complete revolutions around the circle, which is equal to 4π radians.