Is 5.6 radians equivalent to 1.2 theta?

58 Views Asked by At

So I was studying some circle properties in Khan Academy and this problem basically states that if:

$S=r\theta$

then find a formula for $S$ in terms of $r$. Now in the problem it says that the angle equals 5.6 radians but then the answer says that:

$S=r(1.2)$

The problem says this... right below the circle (the angle of the image it's a central angle in radians)

Step 1: A central angle $\theta$ measured in radians tells us how many times the radius fits in the arc

$\text{arc longitude} = \text{radius} * \theta$

Step 2: Substitute

$S= r * 1.2$ <---- ????

Step 3: Formula it's:

$S= r * 1.2$

Why is it 1.2????

Khan Academy radians problem