Question

The number of radians in a 720-degree angle can be

written as an, where a is a constant. What is the
value of a ?

Answer 1

4

Explanation:

We know that:

• π rad= 180°

Then:

• 720° = 4*180° = 4π radian

The value of a:

• 4π = aπ ⇒ a= 4

Answer 2

a=4

Explanation:

When going from degrees to radians, 180 degrees is always going to equal π radians

That means 2π would be 360 degrees, and 4π would be 720

And since we're trying to find a in aπ when it's a 720 degree angle, we can conclude that a=4