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Exploring Circle Properties: Radius, Circumference, & Area Calculation

Learn about circle properties such as radius, diameter, circumference, and area with examples and formulas explained through diagrams.

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Exploring Circle Properties: Radius, Circumference, & Area Calculation

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  1. CIRCLES 2

  2. radius circumference centre tangent diameter chord

  3. area of circle Area of red square ‹ ‹ A 4r2

  4. Area of blue square area of circle ‹ ‹ A 2r2

  5. Let’s look at the area inside a circle

  6. Let’s use a diagram to help ‹ c ‹ 6r 8r Explain why the statement must be true

  7. A group of students measured the radius & estimated the area of five circles to see how they were related. Here are their results

  8. The equation of the curve is A = 3.1r2 Here is their graph

  9. π xd C = πd C =2πr 2x π xr A =πr2 π xr xr

  10. This circle has a diameter of 20 cm. Find the radius, circumference & area of the circle 20 cm Useπ= 3.14

  11. d2 Radius = 20 cm 20 2 = = 10 cm πd circumference = π x 20 = = 3.14 x 20 = 62.8 cm πr2 area = 3.14 x 10 x 10 = = 314 cm2

  12. Choose a problem semicircle sector End

  13. Calculate the perimeter and area of this semicircle Useπ= 3.14 12 m

  14. Calculate the perimeter and area of this semicircle Useπ= 3.14 12 m πr22 πd2 Perimeter = + d Area = = 3.14 x 12 x 6 = (3.14 x 12) + 24 = 37.68 + 24 = 3.14 x 12 x 6 = 61.68 m = 226.08 m2

  15. Calculate the perimeter and area of this sector 8 cm Useπ= 3.14 60o

  16. Calculate the perimeter and area of this sector 8 cm Useπ= 3.14 60o πr2 6 πd6 Perimeter = + 2r Area = = 3.14 x 8 x 8 6 = (3.14 x 16) + 16 6 = 24.4 cm = 34.5 cm2

  17. End

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