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General Information

Related Standards: MAFS.912.G-GMD.1.1
Reporting Category: Geometry: Geometric Measurement & Dimension
Type: MS: Multiselect
Difficulty: N/A
Question:

Alejandro cut a circle with circumference C and radius r into 8 congruent sectors and used them to make the figure shown.

Alejandro noticed that the figure was very close to the shape of a parallelogram. Select all the statements that apply to the figure..

Answer Options:

A. The height of the parallelogram is approximately equal to the circle's diameter.

B. The area of the parallelogram is approximately begin mathsize 12px style 1 half C r end style

C. The length of the parallelogram is approximately equal to the circle's circumference.

D. The radius of the circle is approximately equal to the height of the parallelogram.

E. The area of the parallelogram is approximately begin mathsize 12px style 8 left parenthesis 45 over 360 pr squared right parenthesis end style

Answer Key:
B,D,E

Aligned Standards

Code Description
MAFS.912.G-GMD.1.1: Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.


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