Answer:
D
Step-by-step explanation:
We need the formula for arc length (in radians) to solve this problem. The formula is:
[tex]s=r \theta[/tex]
Where
s is the arc length
r is the radius of the circle
[tex]\theta[/tex] is the intercepted angle
In this diagram, we can see that [tex]\theta[/tex] is beign intercepted by the big arc with measure 20 cm. So arc length, s, is 20
Also, if we look, we see that the radius is 5 cm, so r = 5
Now, we substitute into formula and find [tex]\theta[/tex]:
[tex]s=r\theta\\20=5\theta\\\theta=\frac{20}{5}\\\theta=4[/tex]
This is given in radians, so [tex]\theta[/tex] is 4 radians
D is the correct answer choice.
