Q. 5 - Precalculus Enhanced with Graphing Utilities

Question

In Problems $4-6$ convert each angle in radians to degrees.

$5. \frac{9\mathrm{\pi }}{2}$

Step-by-Step Solution

Answer

The angle in radian measure is $810°$.

Step 1. Given information.

Given radian measure is $\frac{9\mathrm{\pi }}{2}$.

To convert an angle measure to degree, multiply degree measure by $\frac{180°}{\mathrm{\pi }}$.

This gives

$\frac{9\mathrm{\pi }}{2}\times \frac{180°}{\mathrm{\pi }}=810°$.

Step 2: Identify the calculus concept

Determine which concept is being tested.

Step 3: Set up the problem

Write the problem in mathematical notation.

Step 4: Execute the computation

Apply calculus techniques step by step.

Step 5: State the result

Simplify and state the final answer.

Step 6: Conclude with the answer

The angle in radian measure is $810°$.