The [math]x[/math]-coordinate of a point on the unit circle is [math]\frac{3}{5}[/math]. What does this tell you about where the point might lie on the unit circle? Find any possible [math]y[/math]-coordinates of the point and plot them on the unit circle.[br]

The [math]y[/math]-coordinate of a point on the unit circle is [math]-0.4[/math]. What does this tell you about where the point might lie on the unit circle? Find any possible [math]x[/math]-coordinates of the point and plot them on the unit circle.

Choose one of the points. Be prepared to describe its location using only words.

[list][*]About how many radii does it take to go halfway around the circle?[/*][*]About how many radii does it take to go all the way around the circle?[/*][*]Compare your answers to the previous two questions with your partners.[/*][/list]What is the exact number of radii that fit around the circumference of the circle? Explain how you know.

Why doesn’t the number of radii that fit around the circumference of a circle depend on the radius of the circle? Explain how you know.[br]

What is the circumference of this wheel?[br]

What angle, in radians, does [math]P[/math] rotate through to get to [math]R[/math]? Explain your reasoning.[br]

Where will point [math]P[/math] be after the bike has traveled [math]\pi[/math] feet to the left? What about [math]10\pi[/math] feet? [math]100\pi[/math] feet? Mark these points on the circle below. Explain your reasoning.[br]

After traveling some distance to the left, the point [math]P[/math] is at the lowest location in its rotation. How far might the bike have traveled? Explain your reasoning.[br]

[size=150]Picture the bicycle with a bright light at point [math]P[/math] and moving now from left to right. [br][/size]As the bike passes in front of you going left to right, what shape do you think the light would trace in the air?