Too bumpy on the top
and bottom!
Hmm, odd
number of
pieces . . .
trapezoid.12 pieces and
I have a parallelogram, not so bumpy across the top and bottom.
The more sectors, the more the shape looks like a rectangle/parallelogram.
What did you find out?
rect·an·gle : a four-sided shape that is made up of two pairs of parallel lines and that has four right angles; especially : a shape in which one pair of lines is longer than the other pair
par·al·lel·o·gram : a four-sided shape made up of two pairs of straight parallel lines that are equal in length: a quadrilateral with opposite sides parallel and equal
The base is about one-half the circumference of the circle
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In my picture, you can see that the bottom or base of the parallelogram is the same as half of the circumference of the red circle.
I drew the sectors onto the shapes to show that the edges of the sectors make the base and the circumference.
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In my picture, you can see that the sides of the parallelogram are about the same length as a side of a sector.
The height of the parallelogram is about the radius of the circle. 7
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I say “about” because the sides of the sectors are a bit shorter than the distance from the vertex of the sector to its outside edge.
On your own/with a partner, decide which parallelogram best represents the area of the circle.
Justify your answer using evidence!
What could you do to get a better estimate for the area?
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