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?
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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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