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Chapter 6: Q. 44 (page 365)

Convert each angle in degree to radians. express your answer as a multiple of $π$ .
$- 225 °$

Short Answer

Expert verified

The required answer is $\frac{- 5 π}{4} r a d i a n s$ .

Step by step solution

01

Step 1. Given Information

Given angle: $- 225 °$

02

Step 2. Formula Used

We need to use the following conversion formula,

$1 d e g r e e = \frac{π}{180} r a d i a n$

03

Step 3. Calculation

We have, $- 225 °$

$- 225 ° = - 225 \cdot 1 °$

$= - 225 \cdot \frac{π}{180} r a d i a n$

$= \frac{- 5 π}{4} r a d i a n s$

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Most popular questions from this chapter

Use a calculator to find the approximate value of each expression rounded to two decimal places.

$\sec 21 °$

Convert each angle in degrees to radians. Express your answer as a multiple of $π$ .

$180 °$

What is the formula for the circumference $C$ of a circle of radius $r$ ? What is the formula for the area $A$ of a circle of radius $r$ ?

In the problem, $s$ denotes the length of the arc of a circle of radius $r$ subtended by the central angle $θ$ . Find the missing quantity. Round answers to three decimal places.

$r = 6$ feet, $θ = 2$ radians, $s = ?$

Convert each angle in degrees to radians. Express your answer as a multiple of $π$ .

$- 90 °$

See all solutions

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