Question

The circle shown below has a diameter of 18 centimeters (cm). If the dotted arc is 33 cm long, what is the measure of angle 0? A. 187 O B. 23.3 O C. 210 O D. 105

Answer 1

Cody, this is the solution:

Diameter of the circle = 18 cm

Radius of the circle = 18/2 = 9 cm

Now, let's calculate the circumference of the circle, as follows:

C = 2πr

C = 2 * 3.1416 * 9

C = 56.55 cm

Finally, we can answer the question using the Direct Rule of Three, this way:

Circumference Degrees

____________________________

56.55 360

33 x

__________________________

56.55x = 33 * 360

56.55x = 11,880

Dividing by 56.55 at both sides:

56.55x/56.55 = 11,880/56.55

x = 210

Cody, the right answer is C.