Scelta multipla
How many radians is ?
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1. Measuring Angles
Radians
Scelta multipla
If the measure of central angle in a circle of radius units is radians, what is the area of the shaded sector?
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Guida verificata passo dopo passo1
Identify the given values: the radius of the circle \(r = 6\) units and the central angle \(\theta = \frac{1}{2}\) radians.
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.
Substitute the given values into the formula: \(\text{Area} = \frac{1}{2} \times 6^{2} \times \frac{1}{2}\).
Simplify the expression step-by-step: first calculate \$6^{2}$, then multiply by \(\frac{1}{2}\), and finally multiply by \(\frac{1}{2}\) again.
The result after simplification will give the area of the shaded sector in square units.
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