Question

arc length and area of a sector
the free - throw line on an ncaa basketball court is 12 ft
wide. in international competition, it is only about
11.81 ft. how much longer is the half circle above the
free - throw line on the ncaa court?

in a circle of radius 2 miles, the length of the arc that subtends a central angle of 5
radians is miles.
question help: worked example 1
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Explanation:

Step1: Recall the arc - length formula

The formula for the arc length \(s\) of a circle is \(s = r\theta\), where \(r\) is the radius and \(\theta\) is the central angle in radians.

Step2: Identify the values of \(r\) and \(\theta\)

Given that \(r = 2\) miles and \(\theta=5\) radians.

Step3: Substitute the values into the formula

Substitute \(r = 2\) and \(\theta = 5\) into \(s=r\theta\). Then \(s=(2)(5)\).

Answer:

\(10\)