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Area of a Circle Mrs. Cronnelly
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Why don’t we have just one formula for area?
Why is it that the area of a square or a rectangle is base x height but the area of a circle is A = r²? Wouldn’t it make sense to have just one formula for area? Well actually, we do! It is base x height!
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Here is a step by step process to help us see this more clearly!
If we cut a pie that has A diameter of 9 inches into eight slices and arrange them into a parallelogram Like this! 9 in
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We now have a parallelogram!
height 4.5 in r base in A = b x h A = x 4.5 A = in² How close are we? A = r² A = 3.14 x 4.5² A = in²
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Let’s see how well you can find the Circumference of a circle!
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(Round to the nearest tenth)
C= 12.6 cm C= 72.2 mm C= 56.5 m C= cm
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Now let’s practice how to find the area of a circle!
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(Round to the nearest tenth)
A= m² A= 10,563 cm² A= 12.6 cm² A= mm²
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Mix it up!!!!! A = 210.665 cm² 52.82 cm Area Distance around
(two halves make a whole circle) Area Distance around Find the area of the circle Find Circumference of a circle A= cm² 40.82 cm Find the area of a rectangle Find Perimeter of rectangle (be careful!) A = 78 cm² 12 cm A = cm² 52.82 cm
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Radius = 3.8 cm Diameter =7.6 cm Area = 45.3 cm²
(Round to the nearest tenth) Radius = 3.8 cm Diameter =7.6 cm Area = 45.3 cm²
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Radius = 3.5 ft Area = 38.465 ft² Diameter = 7 ft
(Round to the nearest tenth) Radius = 3.5 ft Area = ft² Diameter = 7 ft Circumference = ft
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