Multiple Choice
If the measure of central angle RST is radians in a circle of radius , what is the area of the shaded sector if and ?
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1. Measuring Angles
Radians
Multiple Choice
If a circle has a radius of inches and a central angle of radians, what is the length of arc in inches?
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Verified step by step guidance1
Recall the formula for the length of an arc (s) of a circle, which is given by the product of the radius (r) and the central angle (θ) in radians: \(s = r \cdot \theta\).
Understand that the central angle θ must be in radians for this formula to apply directly; if given in degrees, convert it to radians first.
Identify the given values: radius \(r\) inches and central angle \(\theta\) radians.
Substitute the given values into the formula: \(s = r \cdot \theta\).
Express the arc length \(zv\) as \(zv = r \cdot \theta\), which gives the length of the arc in inches.
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