Problem 36 - Precalculus Essentials

Question

Convert each angle in radians to degrees. Round to two decimal places. 3 radians

Step-by-Step Solution

Answer

The angle in degrees, to two decimal places, is approximately \(171.89^\circ\).

Step 1: Understand the conversion formula

The formula for converting radians to degrees is as follow: \[ Degrees = Radians \times \frac{180}{\pi} \]

Step 2: Substitute the value into the conversion formula

Now, substitute the given radians (3 in this case) into the formula: \( Degrees = 3 \times \frac{180}{\pi} \)

Step 3: Calculate the result

Multiply 3 by the quotient of 180 and \(\pi \) to find the degree measure.

Step 4: Round to two decimal places

After performing the multiplication, the result should be rounded to two decimal places.