Demystifying - Semicircles and quarter circles

Drills

Halving or quartering the circle formulas, and adding the straight edges whenever a perimeter is wanted.

Author note — to cover

Areas and perimeters of semicircles and quarter circles: halve or quarter the circle formulas, then add the diameter or two radii whenever a perimeter is asked — the classic omission. Compound shapes with circular parts included. General sector angles move to Arc length and Area of a sector. Both tiers. (G17, G18)

  • Fluency — direct questions on semicircles and quarter circles, limited to this lesson's stated scope (4 questions).
  • Application — use the same skill in unfamiliar or contextual questions without introducing a later method (4 questions).
  • Check — questions built around the exclusions and likely misconceptions named in the lesson brief (4 questions).

The test

—coming soon—

Where to go next

The method this drill practises is taught on Semicircles and quarter circles.