44th B.P.S.C. (Pre) 2000
Choose the value of 13°12' from the following—
a$$\frac{11}{150}\pi$$✓ Correct
b$$\frac{13}{150}\pi$$
c$$\frac{6}{125}\pi$$
d$$\frac{11}{25}\pi$$
Explanation
$$13^{\circ}12' = 13^{\circ} \left(\frac{12}{60}\right)^{\circ}$$ $$= 13^{\circ} + \frac{1^{\circ}}{5}$$ $$= \frac{66^{\circ}}{5}$$ ∴ $$180^{\circ} = \pi$$ $$\frac{66^{\circ}}{5} = \frac{66 \times \pi}{5 \times 180^{\circ}}$$ $$= \frac{11}{150}\pi$$
general-science
