Question

one familys water usage for a year

1. to the nearest degree, what is the measure of the central angle for bathing?

98°
108°
68°
30°

Explanation:

Step1: Recall the formula for central angle

The formula for the central angle of a sector in a pie - chart is \(\theta=\frac{\text{Percentage}}{100}\times360^{\circ}\)

Step2: Substitute the percentage for bathing

Given the percentage for bathing is \(30\%\). Substitute into the formula: \(\theta=\frac{30}{100}\times360^{\circ}\)

Step3: Calculate the value

\(\theta = 0.3\times360^{\circ}=108^{\circ}\)

Answer:

\(108^{\circ}\)