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Chapter 1: Problem 62

Convert the angle measure from degrees to radians. Round to three decimal places. $$0.54^{\circ}$$

Short Answer

Expert verified
The angle measure of \(0.54^{\circ}\) is approximately 0.009 radians when rounded to three decimal places.

Step by step solution

01

Identifying the conversion factor

Firstly, one needs to understand the conversion factor from degrees to radians. It is known that \(180^{\circ}\) is equal to \(\pi\) radians.
02

Setting up the conversion

Next, set up the conversion from degrees to radians. This is achieved by multiplying the given angle measure in degrees by the conversion factor. \(0.54^{\circ} \times \frac{\pi}{180^{\circ}} \)
03

Calculating the result

Multiply 0.54 by \(\frac{\pi}{180}\), which results in approximately 0.00942.
04

Rounding the result

Rounding 0.00942 to three decimal places gives 0.009.

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