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Topic: Perimeter, Area and Volume (Foundation - Unit 3)

Specification References: G4.3

G4.3 Calculate circumference and areas of circles.


Candidates should be able to:

  • recall and use the formula for the circumference of a circle
  • work out the circumference of a circle, given the radius or diameter
  • work out the radius or diameter given the circumference of a circle
  • use = 3.14 or the button on a calculator
  • work out the perimeter of semi-circles, quarter circles or other simple fractions of a circle
  • recall and use the formula for the area of a circle
  • work out the area of a circle, given the radius or diameter
  • work out the radius or diameter given the area of a circle
  • work out the area of semi-circles, quarter circles or other simple fractions of a circle

Notes

Candidates will not be required to work out the surface area of a cylinder at Foundation tier.

Examples

  1. The following diagram shows two semi-circles of radius 5 cm and 10 cm:

            

           Work out the shaded area.


view more examples

  1. The circumference of a circle of radius 4 cm is equal to the perimeter of a square.

    Work out the length of one side of the square.

  2. Which is greater; the area of a quarter-circle of radius 10 cm or the area of a   

    semicircle of radius 5 cm.

    Show how you decide.