Question

Which of the following is equivalent to 48 degrees?

A. 0.23π
B. 0.24π
C. 0.26π
D. 0.27π

Answer 1

Question: Which of the following is equivalent to 48 degrees?

A. $0.23\pi$

B. $0.24\pi$

C. $0.26\pi$

D. $0.27\pi$

Solution: angle in radians = angle in degrees $\pi$ $\frac{\pi}{180{}^{\circ}}$. Therefore, we have, that angle's measure in radians is $48\frac{\pi}{180} = 0.2(6)\pi$. Rounding 0.2(6) to hundredths, we get $0.27\pi$.

Answer: D. $0.27\pi$