Scelta multipla
Which point on the number line corresponds to the position of radians?
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1. Measuring Angles
Radians
Scelta multipla
How many radians is ?
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Guida verificata passo dopo passo1
Recall the formula to convert degrees to radians: \(\text{radians} = \text{degrees} \times \frac{\pi}{180}\).
Substitute the given angle of 105 degrees into the formula: \(105 \times \frac{\pi}{180}\).
Simplify the fraction \(\frac{105}{180}\) by finding the greatest common divisor (GCD) of 105 and 180, which is 15.
Divide numerator and denominator by 15: \(\frac{105 \div 15}{180 \div 15} = \frac{7}{12}\).
Write the final expression for the angle in radians as \(\frac{7\pi}{12}\).
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