Question

2 multiple choice 1 point in circle a, the length of arc bcd is what fraction of the circumference? 5/6 3/10 1/12 1/6 3 multiple choice 1 point if the radius of a circle is doubled, how does the area of the sector with a fixed central angle change? it becomes one - fourth as large it remains the same it doubles it becomes four times larger

Explanation:

Step1: Find the measure of the central angle for arc BCD

The total central angle of a circle is \(360^{\circ}\). Given one central angle is \(60^{\circ}\), so the central angle for arc BCD is \(360 - 60=300^{\circ}\)

Step2: Calculate the fraction

The formula for the length of an arc \(l=\frac{\theta}{360}\times C\) (where \(\theta\) is the central angle and \(C\) is the circumference). So the fraction is \(\frac{300}{360}=\frac{5}{6}\)

Answer:

\(\frac{5}{6}\)