Area - circles, sectors and segments

  • Giant Holly Leaf
    problem

    Giant holly leaf

    Age
    14 to 16
    Challenge level
    filled star filled star filled star
    Find the perimeter and area of a holly leaf that will not lie flat (it has negative curvature with 'circles' having circumference greater than 2πr).
  • Mean Geometrically
    problem

    Mean geometrically

    Age
    16 to 18
    Challenge level
    filled star filled star empty star
    A and B are two points on a circle centre O. Tangents at A and B cut at C. CO cuts the circle at D. What is the relationship between areas of ADBO, ABO and ACBO?
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