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2*(-9)=18 03.01.2019 Agenda Bell Ringer Bell ringer D.E.A.R.
Circles Video Cornell notes: Area of a circle Topic: Area and circumference of a Circle E.Q. How do I calculate the Area of a circle? Summarize Cornell Notes Two truths, one lie Activity 2*(-9)=18 Format paper for Cornell notes D.E.A.R.
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Circles A circle is the set of all points in a plane that are the same distance from a given point, called the center.
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Parts of a Circle Radius-Straight line from the middle to the outside of a circle
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Diameter-a line that cuts the circle in half from end to end
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Circumference Circumference is the distance around the circle. Like the perimeter.
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Recap-Circles The circumference (C) is the distance around a circle.
The diameter (d) is the distance across a circle through the center of the circle. The radius (r) is the distance from the center to any point on the circle.
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Circles Pi is a non-terminating and non-repeating number represented by the Greek letter (pi) 3.14 is often used as an approximation for .
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Circles Formulas for finding Circumference C = d C = 2r
If you are given the diameter in a problem use the formula with d. If you are given a problem with the radius use the formula with r. Both formulas find the circumference.
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Find Circumference Which formula for C will you use? C = 2r
C = inches 21 in
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Your Turn Find the Circumference
Which formula for C will you use? C = d C = (4.5) C = 14.1cm 4.5cm
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Circles - Area Formula for finding the area of a circle: A = r
If you are given the diameter instead of the radius; divide the diameter by 2 to get the radius. 2
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Find the Area D = 14 m r = ? 14 ÷ 2 = 7 m A =r A =(7 ) A = (49)
A = m 14m 2 2 2
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Your Turn Find the Area A =r A =(5 ) A = (25) A = 78.5 ft 2 2 5 ft
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Example 3.14 · 36 = in²
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Try
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Try
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Example 3.14 · 36 = in²
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Try
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Try
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Example Radius = 3
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Try
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Finding Radius and Diameter from Area
Just like you could find radius and diameter from circumference, you can find the radius and diameter from area by filling in known values and solving.
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Example Area = 𝛑r² Area = cm² Radius = Diameter =
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Area = cm² Radius = Diameter =
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Area = cm² Radius = Diameter =
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Reference
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