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Origin - WeeblyA Circle to Its Diameter • If you measure the distance around a circle (C) and divide it by the distance across the circle through its center (d), you should always

Jan 18, 2021

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Page 1: Origin - WeeblyA Circle to Its Diameter • If you measure the distance around a circle (C) and divide it by the distance across the circle through its center (d), you should always
Page 2: Origin - WeeblyA Circle to Its Diameter • If you measure the distance around a circle (C) and divide it by the distance across the circle through its center (d), you should always

Origin

• The origin is the centerof the circle.

• All points on a circle are the same distance from the origin.

• A circle is named by its center.

• Name: Circle A

origin

A

Page 3: Origin - WeeblyA Circle to Its Diameter • If you measure the distance around a circle (C) and divide it by the distance across the circle through its center (d), you should always

Diameter• The diameter is the

distance of a line segment going across a circle throughits center. AB

• It divides the circle exactly in half.

• Is viewed as a line of symmetry.

• Symbol is lower case d.

diameter

Page 4: Origin - WeeblyA Circle to Its Diameter • If you measure the distance around a circle (C) and divide it by the distance across the circle through its center (d), you should always

Radius• The radius is the distance

from the center of the circle to any point on the circle.

• The radius is one-half the length of the diameter.

• Symbol is lower case r.

Page 5: Origin - WeeblyA Circle to Its Diameter • If you measure the distance around a circle (C) and divide it by the distance across the circle through its center (d), you should always

Circumference

• The circumferencerefers to the total distance around the outside edge of a circle.

• It is like the perimeter of a circle.

• Symbol is an upper case C.

Page 6: Origin - WeeblyA Circle to Its Diameter • If you measure the distance around a circle (C) and divide it by the distance across the circle through its center (d), you should always

Ratio of the Circumference of A Circle to Its Diameter

• If you measure the distance around a circle (C)and divide it by the distance across the circle through its center (d), you should always come close to a particular value

• We use the Greek letter to represent this value.

(pi)

Page 7: Origin - WeeblyA Circle to Its Diameter • If you measure the distance around a circle (C) and divide it by the distance across the circle through its center (d), you should always

Ratio Of The Circumference Of A Circle To Its Diameter

(pi)

Page 8: Origin - WeeblyA Circle to Its Diameter • If you measure the distance around a circle (C) and divide it by the distance across the circle through its center (d), you should always

How Helps

• Knowing the value of , allows us to use a formula to calculate the circumference.

• If the diameter of a circle is 2 cm, how could you calculate the circumference?

• C = x ___

• Estimate the circumference

• The circumference is ____

2cm

Page 9: Origin - WeeblyA Circle to Its Diameter • If you measure the distance around a circle (C) and divide it by the distance across the circle through its center (d), you should always

Circumference of a Circle

If the diameter is

3cm

Page 10: Origin - WeeblyA Circle to Its Diameter • If you measure the distance around a circle (C) and divide it by the distance across the circle through its center (d), you should always
Page 11: Origin - WeeblyA Circle to Its Diameter • If you measure the distance around a circle (C) and divide it by the distance across the circle through its center (d), you should always

Estimate the area of this circle.

Page 12: Origin - WeeblyA Circle to Its Diameter • If you measure the distance around a circle (C) and divide it by the distance across the circle through its center (d), you should always

Seeing the square units can help.

Remember each

“block” is one square

unit

Estimatedarea?

Page 13: Origin - WeeblyA Circle to Its Diameter • If you measure the distance around a circle (C) and divide it by the distance across the circle through its center (d), you should always

EstimatedArea?

Counting square units gives a

good estimate.

The formula for finding the area of a circle is

𝐴 = 𝜋𝑟2

Counting is not exact.

ActualArea?

Page 14: Origin - WeeblyA Circle to Its Diameter • If you measure the distance around a circle (C) and divide it by the distance across the circle through its center (d), you should always

Pie are square?

NO, pie are round!

Page 15: Origin - WeeblyA Circle to Its Diameter • If you measure the distance around a circle (C) and divide it by the distance across the circle through its center (d), you should always

Estimatedarea is?

Actual area is?

Remember

𝐴 = 𝜋𝑟2

Page 16: Origin - WeeblyA Circle to Its Diameter • If you measure the distance around a circle (C) and divide it by the distance across the circle through its center (d), you should always

Actual area?

Estimated area?