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Chapter 6: Q. 41 (page 365)

Convert each angle in degrees to radians. Express your answer as a multiple of $π$ .
$180 °$

Short Answer

Expert verified

The required measure of angle is $πradians$ .

Step by step solution

01

Step 1. Given Information

Given angle: $180 °$

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 the angle, $180 °$

$180 ° = 180 \cdot 1 °$

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

$= πradians$

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Most popular questions from this chapter

Write the equation of a sine function that has the given characteristics.

Amplitude: $4$

Period: $1$

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

$- 180 °$

find the value of the remaining five trigonometric functions of $ϑ$

$\sin ϑ = \frac{5}{7}$ , $ϑ$ in Second Quadrant.

Write the equation of a sine function that has the given characteristics.

Amplitude: $2$

Period: role="math" localid="1646330159175" $4 π$

For a circle of radius r, a central angle of u degrees subtends an arc whose length s is $s = \frac{π}{180} r θ$ . Discuss whether this is a true or false statement. Give reasons to defend your position.

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