Multiple Choice
Which of the following is the radian measure of a central angle that subtends an arc equal in length to the radius of the circle?
1. Measuring Angles
Radians
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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Verified step by step guidance1
Recall the formula for the area of a sector of a circle: \(\text{Area} = \frac{1}{2} r^{2} \theta\), where \(r\) is the radius and \(\theta\) is the central angle in radians.
Identify the given values from the problem: radius \(r = 4\) and central angle \(\theta = 2\) radians.
Substitute the given values into the sector area formula: \(\text{Area} = \frac{1}{2} \times 4^{2} \times 2\).
Simplify the expression step-by-step: first calculate \$4^{2}$, then multiply by \(2\), and finally multiply by \(\frac{1}{2}\).
The result after simplification will give you the area of the shaded sector.
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