Question

What radian measure is equivalent to 145°?


a) 15π/32


b) 32π/15


c) 36π/29


d) 29π/36

Answer 1

Answer on Question #83356 – Math – Trigonometry

Question

What radian measure is equivalent to $145{}^{\circ}$?

a) $15\pi/32$

b) $32\pi/15$

c) $36\pi/29$

d) $29\pi/36$

Solution

Proportion

$$\frac{180{}^{\circ}}{145{}^{\circ}} = \frac{\pi \cdot rad}{x \cdot rad} \Rightarrow x = \left(\frac{145}{180}\right)(\pi \cdot rad) = \frac{29\pi}{36} \cdot ra$$

Answer: d) $29\pi/36$

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