A spinner is divided into two regions. One region is red and has a central angle of $60°$. The other region is blue.

1. On your paper, sketch a picture of this spinner.

2. If the spinner is spun twice, what is the probability that both spins land on blue?

   Hint (b):

   How much of the circle does the blue section occupy?

   Answer (b):

   $\approx69.4\%$

3. If the radius of the spinner is $7.0$ cm, what is the area of the blue region?

   Hint (c):

   Recall : area of a sector $=\frac{\theta}{360}\pi\text{r}^2$

4. A different spinner has three regions: purple, yellow, and green. If the probability of landing on purple is $\frac { 1 } { 4 }$ and the probability of landing on yellow is $\frac { 2 } { 3 }$, what is the central angle of the green region?

   Hint (d):

   Find a common denominator between the probabilities to solve for the probability of landing on green.

   More Help (d):

   Use the probability of landing on green in the equation given above.