[size=150][math]C[/math] is a circle with[/size][size=150] radius [math]r[/math]. Which of the following is true? Select [b]all [/b]that apply.[/size]
[size=150]A wheel has a radius of 1 foot. After the wheel has traveled a certain distance in the counterclockwise direction, the point [math]P[/math] has returned to its original position.[/size][br] 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[/img][br][br]How many feet could the wheel have traveled? Select [b]all [/b]that apply.
What is the measure in radians of angle [math]POR[/math]?
Angle [math]POQ[/math] is halfway between 0 radians and angle [math]POR[/math]. What is the measure in radians of angle [math]POQ[/math]?[br]
Label point [math]U[/math] on the circle so that the measure of angle [math]POU[/math] is [math]\frac{3\pi}{4}[/math].[br]Label point [math]V[/math] on the circle so that the measure of angle [math]POV[/math] is [math]\frac{3\pi}{2}[/math].[br]
[size=150]Mark the points on the unit circle with [math]x[/math]-coordinate [math]\frac{4}{5}[/math].[/size]
What are the [math]y[/math]-coordinates of those points? Explain how you know.[br]
[size=150]The point [math]\left(8,15\right)[/math] lies on a circle centered at [math]\left(0,0\right)[/math]. [/size][size=150]Where does the circle intersect the [math]x[/math]-axis? Where does the circle intersect the [math]y[/math]-axis? Explain how you know.[/size]
[size=150]Triangles [math]ABC[/math] and [math]DEF[/math] are similar. 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[/img][br]Explain why [math]\tan\left(A\right)=\tan\left(D\right)[/math].