Question

If angle A=−260∘, what is the radian measure of A? Enter an exact fraction that contains the π symbol.

Answer 1

To convert angle A = -260° to a radian measure, multiply the degree measurement by π/180 to get -13π/9 radians.

Step-by-step explanation:

To convert an angle from degrees to radians, we use the fact that 360° is equal to 2π radians. Therefore, one degree is equal to π/180 radians.

To find the radian measure of an angle A = -260 degrees, use the conversion factor:

π radians/180 degrees = 1

Multiply the angle in degrees by this conversion factor:

A radians = -260° * (π/180)

A radians = (-260/180) * π

A radians = -13π/9.

So, the radian measure of angle A when it is -260° is -13π/9 radians.

Answer 2

Step-by-step explanation:

To convert degrees to radians, multiply by

π

180

°

, since a full circle is

360

°

or

2

π

radians.

−

260

°

⋅

π

180

°

radians

Cancel the common factor of

20

.

Tap for more steps...

−

13

⋅

π

9

radians

Combine

−

13

and

π

9

.

−

13

π

9

radians

Move the negative in front of the fraction.

−

13

π

9

radians