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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?
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.