Angle at the Center Theorem

MOVE POINT E and find out how big you want your slice pizza. Answer in terms of degrees and give the coordinates of E . Example: Pizza Slice Size is 180 degrees and coordinate E (-4,0).

Give me your best guess on the measurement of the inscribed angle BDC (the angle in pink).

If the central angle BAC is 90 degrees, then what is the measurement of the inscribed angle BDC? Explain your reasoning.

Using Graph 3 above If the measurement of the central angle BAC is 240 degrees, what is the measurement of the inscribed angle BDC?

Using Graph 3 above If the measurement of the inscribed angle BDC is 64 degrees, what is the measurement of the central angle BAC?

What is the relationship between the measurement of central angle BAC and the measurement of inscribed angle BDC? Select all that apply.

If your friend, cut the pizza from DB and from DC, what is the measurement of angle BDC (angle in red)?

Identify the central angle:

Identify the inscribed angle:

1. What was your favorite part of this activity? 2. What did you not like about this activity? 3. Write your own definition of what it means to be an inscribed angle and a central angle. 4. Bonus Question: What is your favorite pizza toppings? Please number your responses:

On a scale of 1-5, was this activity helpful in learning the ANGLE at the CENTER THEOREM? 1: meaning not very helpful 5: meaning very helpful