Question

aubrey, who just won the election for student body president at lakewood middle school, tallied how many votes she received from each grade. vote breakdown sixth grade 35% eighth grade 25% seventh grade 40% what is the measure of the central angle in the \eighth grade\ section?

Explanation:

Step1: Recall circle - angle relationship

A full - circle has 360°.

Step2: Calculate central angle for eighth grade

We know the eighth - grade votes are 25% of the total. So the central angle $\theta$ for the eighth - grade section is $\theta=25\%\times360^{\circ}$.
Since $25\%=\frac{25}{100} = 0.25$, then $\theta = 0.25\times360^{\circ}=90^{\circ}$.

Answer:

90