Stu has 2/3 of a circular pizza left over from a party. He takes half of it as a snack and evenly splits up the rest to share with his two sisters. Assuming that Lou cuts slices from the center of the straight edge, what are the angles of the slices of pizza. Select two that apply.

A. Stu's slice of pizza has an angle that is 180 degrees

B. Stu's slices of pizza has an angle that is 120 degrees

C. Stu's two sisters slices have angles of 60 degrees

D. Stu's two sisters slices have angles of 90 degrees

Question

Mathematics

Cynthia Hester

14 February, 13:14

Stu has 2/3 of a circular pizza left over from a party. He takes half of it as a snack and evenly splits up the rest to share with his two sisters. Assuming that Lou cuts slices from the center of the straight edge, what are the angles of the slices of pizza. Select two that apply.

A. Stu's slice of pizza has an angle that is 180 degrees

B. Stu's slices of pizza has an angle that is 120 degrees

C. Stu's two sisters slices have angles of 60 degrees

D. Stu's two sisters slices have angles of 90 degrees

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Answers (1)

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Savanna · Answer 1

B and C are correct.

A circle has 360°. 2/3 of that circle is given by

2/3 (360) = 720/3 = 240°.

Stu takes half of this, so his piece will have 240/2 = 120°.

He splits the remainder of it between his 2 sisters; 240-120 = 120° left; 120/2 = 60° for each sister's piece.