QuestionProb. 5 Consider these three diagrams. (a) The first diagram depicts a point $\left(p_{1}, q_{1}\right)$ lying on a circle of radius 1 centered at the point $(0,0)-$ which is to say, the unit circle. What are the coordinates of this point? $$\left(p_{1}, q_{1}\right)=($$ $\qquad$ $\qquad$ (b) The second diagram depicts a point $\left(p_{2}, q_{2}\right)$ lying on a circle of radius 2 centered at the point $(0,0)$. (Effectively, we've made the previous circle twice as big.) What are the coordinates of this point? $$\left(p_{2}, q_{2}\right)=($$ $\qquad$ $\qquad$ (c) The third diagram depicts a point $\left(p_{3}, q_{3}\right)$ lying on a circle of radius 2 centered at the point $(-2,1)$. (Effectively, we've shifted the previous circle 2 units left and 1 unit up.) What are the coordinates of this point? $$\left(p_{3}, q_{3}\right)=(\square, \square)$$