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7th Grade Math (Math 7) · Chapter 9 · Lesson 9.4 · Printable PDF

Why the Circle Area Formula Works Worksheet with Answer Key

7 problems on why the circle area formula works: cutting a circle into wedges, a near rectangle, a tart cut in slices, a claim about area and the radius square, an oval platter, and checking a student's use of the near rectangle. 2 pages, with a worked answer key.

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Printable Why the circle area formula works worksheet with answer key - 7th Grade Math (Math 7) (Page 1 PDF preview)
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Try one first: a free Chapter 1 worksheet (PDF, no sign-in).

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What's on the worksheet

  1. Word problem: the near rectangle made by wedges of a round cornbread.
  2. Word problem: the crust length and shape of tart slices.
  3. Test Mason's claim that a circle's area is a little more than 3 times the square on its radius.
  4. Explain why the wedge argument does not work for an oval platter.
  5. Decide which rectangles a circle's wedges could close in on.
  6. Check Leah's use of the near rectangle to find the area of a circle.
  7. Compare Arjun's and Amara's paper circles cut into wedges.

Teach it first

The free lesson teaches it with worked examples and practice problems.

Why the circle area formula works: the lesson ›

More Chapter 9 worksheets: Circles: circumference and area