Question

How many complete revolutions are needed to draw the angle 725°?

a. 3
b. 1
c. 2
d. 4

Answer 1

C. A complete revolution is 360 degree. two revolution is 720.

Answer 2

`725\ degree=2\ revolution`

Step-by-step explanation:

We know that 1 complete revolution is equal to 360 degrees. We need to find the number of complete revolution needed to draw the angle of 725 degrees.

Since, 1 revolution = 360 degrees

or

`1\ revolution=2\pi \ radian`

`1\ degree=(1)/(360)\ revolution`

`725\ degree=(725)/(360)\ revolution`

`725\ degree=2.01\ revolution`

or

`725\ degree=2\ revolution`

So, to draw an angle of 725 degrees, there are 2 revolutions. Hence, this is the required solution.