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Measuring Space: Perimeter and Area

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A thali is round. So is a bangle, and so is a temple tank. How long is the rim (outer edge) of each? How much space does each cover?

Four questions about measuring space.

This is Chapter 6 of your textbook. It is called Measuring Space: Perimeter and Area.

  • Way round ÷ way across — one number for every circle.
  • Not a fraction — so our values are close, not exact.
  • Three old approximations — close values, and how far each one misses.
  • An arc — a share of the way round.
  • The area inside — thin slices, called wedges, laid in a strip.
  • A sector — a slice, with its share of the area.
  • Area from three sides — no height needed.
  • Four sides on a circle — the triangle is one case.
  • A rectangle into a square — same space, drawn.

A quick catch-up

Each idea below has an earlier lesson. Open one for a quick look.

  • A slanted edge covers squares in parts. Area still counts unit squares.
  • Height meets the base at a right angle. It can lie outside.
  • Odd shapes — smaller shapes joined, or one shape taken from another.
  • Right triangle. Two short sides, squared and added, equal the longest side squared.
  • A slice gets the same share of 360° as of the whole.
  • A fixed edge does not fix the space inside.

Jump to lesson

This track

  1. 0 Start here
  2. 1 The way round and the way across
  3. 2 That number is not a fraction
  4. 3 Three approximations, each with a measured error
  5. 4 A piece of the edge
  6. 5 Wedges, and a rectangle they approach
  7. 6 Checkpoint: the circle lessons
  8. 7 A slice of the inside
  9. 8 An area from three sides
  10. 9 Four sides on one circle
  11. 10 A rectangle into a square
  12. 11 Checkpoint: areas without heights
  13. 12 The big picture
  14. 13 Track quiz

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