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What are some words you remember that go with circle?
Get out 5 pieces of paper and fold like a hamburger.
Standards G.6.1, G.6.2, G.6.7
A Circle is the shape that is produced when you plot all of the points which are the same distance away from a center point.
E
Circles are referred to by the center point. This circle would be
called ๏E
Center
A
B
Chord – Any line segment drawn inside a circle. This is chord AB. A chord always touches 2 edges of the circle.
C
Radius – Any line segment drawn from the center to a point on the circle. This is radius DC
D
X
Y Diameter – Any chord which runs through the center of the circle. This is diameter XY.
Notice: A radius is always half of a circle’s diameter
The perimeter of a circle is called its circumference
Formula: C = 2r (or d) ≈ 3.14
r = the circle’s radius
Note: You may leave a circumference answer in terms of unless you are asked for a decimal approximation.
1. Find mQT2. Find mUY3. Find mQY4. Name a radius5. Name a diameter6. Name a chord7. Name this circle8. Find the circumference
Q
W
X
Y
U
Z
10
T10
20
10
QW, QU, QT, QY
UY
XZ, UY
๏ Q
2 (10) (10) 2020
EX Y F Z
G
The diameters of ๏X, ๏Y, and ๏Z are 22, 16, and 10 respectively.
1.) Find mEX
2.) Find mEY
3.) Find mXF
4.) Find mGY
11 8 5
11
19
113
13
5
Find the missing measures in the following table
RadiusRadius DiameterDiameter CircumferencCircumferencee
44 ?? ??
?? 1212 ??
?? ?? 70.270.2
1.)
2.)
3.)
8 8ππ
6 12ππ
C = d
22.411.2
70.2 = d
Find the circumference.
Find the circumference.