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Chapter 6: Problem 28

Convert the given degree measure to radians. $$-12^{\circ}$$

Short Answer

Expert verified
Question: Convert the angle measure -12掳 to radians. Answer: $$-\frac{1\pi}{15}$$ radians.

Step by step solution

01

Write down the conversion factor

The conversion factor for converting degrees to radians is $$\frac{\pi}{180}$$. This means that 180 degrees is equal to $$\pi$$ radians.
02

Multiply the angle measure by the conversion factor

Now, we will multiply the given angle measure (-12掳) by the conversion factor $$\frac{\pi}{180}$$. So, the calculation will be: $$-12^\circ \times \frac{\pi}{180}$$
03

Simplify the expression

To find the equivalent radians, we need to simplify the previous expression: $$-\frac{12\pi}{180}$$ We can simplify this fraction by dividing both the numerator and the denominator by a common factor, which in this case is 12. So, we get: $$-\frac{1\pi}{15}$$
04

Write the final answer

The angle measure in radians is: $$-\frac{1\pi}{15}$$ radians.

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