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CIRCLES 2. radius. circumference. centre. tangent. diameter. chord. area of circle. Area of red square. ‹. ‹. A. 4r 2. Area of blue square. area of circle. ‹. ‹. A. 2r 2. Let’s look at the area inside a circle. Let’s use a diagram to help. ‹. c. ‹. 6r. 8r.
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radius circumference centre tangent diameter chord
area of circle Area of red square ‹ ‹ A 4r2
Area of blue square area of circle ‹ ‹ A 2r2
Let’s use a diagram to help ‹ c ‹ 6r 8r Explain why the statement must be true
A group of students measured the radius & estimated the area of five circles to see how they were related. Here are their results
The equation of the curve is A = 3.1r2 Here is their graph
π xd C = πd C =2πr 2x π xr A =πr2 π xr xr
This circle has a diameter of 20 cm. Find the radius, circumference & area of the circle 20 cm Useπ= 3.14
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
Choose a problem semicircle sector End
Calculate the perimeter and area of this semicircle Useπ= 3.14 12 m
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
Calculate the perimeter and area of this sector 8 cm Useπ= 3.14 60o
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