A spinner is divided into two regions. One region, red, has a central angle of $60º$. 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):

   Find the measures of the central angles. What fraction of the circle is red?
   Use this to find the probability.

   Step (b):

   $\frac{300º}{360º} = \frac{5}{6}$

   Answer (b):

   $\frac{5}{6}\cdot\frac{5}{6}=\frac{25}{36}=69.\overline{4}\%=0.694$

3. If the radius of the spinner is $7$ cm, what is the area of the blue region?

   Hint (c):

   Find the area of the whole circle, then subtract the area of the red region.

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

• Hint (d):

  Find the probability of landing on the green region. Then use this to find the measure of the central angle.

  Answer (d):

  $30º$