# Is 5.6 radians equivalent to 1.2 theta?

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????

• At a first glance, it looks like a typo to me. Certainly I would plug in $\theta = 5.6$ as interpreted from the picture. May 14 '20 at 6:06