A full circle has 360 degrees, which means that 100% of the circle is 360 degrees.

First we need to convert the percentage into a decimal.

$\displaystyle 80\% \rightarrow \frac{80}{100}=0.8$

If you multiply 360 by 0.80, you get the degree measure that corresponds to the percentage, which is 288.

$\displaystyle 360 \cdot 0.8= 288$

A full circle has 360 degrees, which means that 100% of the circle is 360 degrees.

First convert the percentage into a decimal.

$\displaystyle 44\% \rightarrow \frac{44}{100}=0.44$

If you multiply 360 by 0.44, you get the degree measure that corresponds to the percentage, which is 158.4.

$\displaystyle 360 \cdot 0.44=158.4$

A full circle has 360 degrees, which means that 100% of the circle is 360 degrees.

First convert the percentage into a decimal.

$\displaystyle 18\% \rightarrow \frac{18}{100}=0.18$

If you multiply 360 by 0.18, you get the degree measure that corresponds to the percentage, which is 64.8.

$\displaystyle 360 \cdot 0.18=64.8$

A full circle has 360 degrees, which means that 100% of the circle is 360 degrees.

We first need to convert the percentage into a decimal.

$\displaystyle 56\% \rightarrow \frac{56}{100}=0.56$

If you multiply 360 by 0.56, you get the degree measure that corresponds to the percentage, which is 201.6.

$\displaystyle 360 \cdot 0.56=201.6$

The arc length of a sector, in degrees, is equal to the central angle. The total number of a degrees of a circle is 360. Therefore, we can use a proportion to calculate the percentage.

$\displaystyle \frac{72}{360}=\frac{x}{100}$

$\displaystyle 7200=360x$

$\displaystyle 20=x$

Therefore, 20% of the circle is comprised of the sector.

A whole circle is $\displaystyle \small 360^\circ$.  We therefore need to find the percent.  We can do this by dividing.

$\displaystyle \small \frac{135}{360}=0.375=37.5\%$

To find the missing percentage, first you can add the 3 sectors' angle measures together to get 275 degrees.  

Then subtract that from 360 degrees because you want this missing sector, which is 85 degrees.  

Then set-up a proportion:

$\displaystyle \frac{85}{360} = \frac{x}{100}$ and solve.

To convert the angle of a sector in a circle to the percentage of that sector you can set-up a proportion: $\displaystyle \frac{52}{360} = \frac{x}{100}$ and then solve.  The total number of degrees in a circle is 360, so you place 52 out of 360. The total percent being represented by a circle is 100, so you place $\displaystyle x$ (what you are trying to find) out of 100.

First add together the degrees that represent blueberry and cherry pie to get 250 degrees.  You want to include both sectors because the question is asking for the percent of pies that is either blueberry or cherry.  

Then set up a proportion:

$\displaystyle \frac{250}{360} = \frac{x}{100}$ and solve for $\displaystyle x$.

First subtract 200 from 360 to get the number of degrees making up the sector representing girls.  

Then set-up a proportion:

$\displaystyle \frac{160}{360} = \frac{x}{100}$ and solve for $\displaystyle x$.