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WHAT IS A CIRCLE? By That Math Lady w w w . t h a t m a t h l a d y . c o m © 2 0 1 2

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Page 1: What is a circle?

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12WHAT IS A CIRCLE?

By That Math Lady

Page 2: What is a circle?

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THE DEFINITION

A circle is a round, two-dimensional shape. It has a middle point (center). All of the points that make the curved line of the shape are equidistant from that point. Equidistant means “having an equal distance”

Page 3: What is a circle?

WE SEE CIRCLES EVERYDAY…

…when we use money!

…when we tell time!

…when we go on a vacation!

…when we go for a ride!

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Page 4: What is a circle?

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HOW DO YOU DRAW A CIRCLE?

Use a math compass:

Page 5: What is a circle?

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LINES INSIDE A CIRCLE There are many lines inside a circle. Any line that touches two points on the circle is called

a chord. Any line that touches two points on the circle and goes

directly through the center is called a diameter. Any line that begins at the center and touches one

point on the circle is the radius. The radius is one-half the length of the diameter.

radius

diameter

chord

Page 6: What is a circle?

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CIRCLE MEASUREMENTS: CIRCUMFERENCE We use the diameter and radius to measure the

area and circumference of a circle. The circumference is the distance around a circle.

(You may think of this as the circle’s perimeter.) To measure the circumference, multiply the

diameter by the number, π (Pi). π is equal to 3.14159265... We commonly use 3.14 to

find an estimate answer. di

amet

er =

2 cm

Example: circumference = dπ

dπ = 2(3.14)circumference = 6.28

cm

Page 7: What is a circle?

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CIRCLE MEASUREMENTS: AREA

To find the area of a circle, you must know the radius or the diameter of the circle.

If you know the diameter, divide that number by 2 (this will give you the radius).

Area = πr² Example: area = πr²

πr² = (3.14)(3)²area = 3.14(9)

area = 28.26 ft²Radius = 3 ft

There are 28.26 squares inside this circle!

Page 8: What is a circle?

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MORE CIRCLE PARTS…

tangent lin

e

arc

sector

segm

e

nt

Page 9: What is a circle?

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WHAT DID YOU LEARN ABOUT CIRCLES?