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New SAT Math - Calculator : Radians

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Example Questions

Example Question #64 : Unit Circle And Radians

Convert $52^{\circ}$ $\displaystyle 52^{\circ}$ to radians.

Possible Answers:

$\frac{\pi}{2}$ $\displaystyle \frac{\pi}{2}$

$\tfrac{13}{45}\pi$ $\displaystyle \tfrac{13}{45}\pi$

$\frac{\pi}{5}$ $\displaystyle \frac{\pi}{5}$

$\frac{2\pi}{3}$ $\displaystyle \frac{2\pi}{3}$

$\tfrac{17}{12}\pi$ $\displaystyle \tfrac{17}{12}\pi$

Correct answer:

$\tfrac{13}{45}\pi$ $\displaystyle \tfrac{13}{45}\pi$

Explanation:

To convert between degrees and radians, multiply by $\frac{\pi }{180^{\circ}}$ $\displaystyle \frac{\pi }{180^{\circ}}$ or $\frac{180^{\circ}}{\pi}$ $\displaystyle \frac{180^{\circ}}{\pi}$.

Since we start in degrees, we use $\frac{\pi }{180^{\circ}}$ $\displaystyle \frac{\pi }{180^{\circ}}$:

$\frac{52^{\circ}}{1}\times\frac{\pi}{180^{\circ}}=\frac{52}{180}\pi$ $\displaystyle \frac{52^{\circ}}{1}\times\frac{\pi}{180^{\circ}}=\frac{52}{180}\pi$

which simplifies to $\tfrac{13}{45}\pi$ $\displaystyle \tfrac{13}{45}\pi$.

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New SAT Math - Calculator : Radians

Study concepts, example questions & explanations for New SAT Math - Calculator

All New SAT Math - Calculator Resources

Example Questions

Example Question #64 : Unit Circle And Radians

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