welcome to our pi day adventure! before we can eat our pies we have to help young radius save his...

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Page 1: Welcome to our Pi day adventure! Before we can eat our pies we have to help young Radius save his father, Sir Cumference. Let’s help Radius solve the
Page 2: Welcome to our Pi day adventure! Before we can eat our pies we have to help young Radius save his father, Sir Cumference. Let’s help Radius solve the

Welcome to our Pi day adventure! Before we can eat our pies we have to help young Radius save his father, Sir Cumference. Let’s help Radius solve the riddle of the circle and save Sir

Cumference. So put your thinking caps on and let’s get started.

Page 3: Welcome to our Pi day adventure! Before we can eat our pies we have to help young Radius save his father, Sir Cumference. Let’s help Radius solve the

Sir Cumference and Radius are having lunch together. What is their relationship?

Radius is his son

As we continue our adventure, try to think about the relationship between the circumference of a circle and its radius

Page 4: Welcome to our Pi day adventure! Before we can eat our pies we have to help young Radius save his father, Sir Cumference. Let’s help Radius solve the

In mathematics, what does “radius” mean?

The radius of a circle is defined as a line from the center of a circle to a point on the circle

Page 5: Welcome to our Pi day adventure! Before we can eat our pies we have to help young Radius save his father, Sir Cumference. Let’s help Radius solve the

Can you find the radius in the circle?

Page 6: Welcome to our Pi day adventure! Before we can eat our pies we have to help young Radius save his father, Sir Cumference. Let’s help Radius solve the

Sir Cumference’s tail curls up to form a circle. What do you call the distance around a circle?

The distance around a circle is called the CIRCUMFERENCE.

Page 7: Welcome to our Pi day adventure! Before we can eat our pies we have to help young Radius save his father, Sir Cumference. Let’s help Radius solve the

Find the circumference of a circle whose diameter measures 25 yd

25 yd

C = dπ

C = 25 yd • π

C = 25 π yd

Page 8: Welcome to our Pi day adventure! Before we can eat our pies we have to help young Radius save his father, Sir Cumference. Let’s help Radius solve the

If the circumference of a circle is 24π find the length of the radius.

?

Radius = 12

Page 9: Welcome to our Pi day adventure! Before we can eat our pies we have to help young Radius save his father, Sir Cumference. Let’s help Radius solve the

…Measure the middle …

what part of the circle does this part of the riddle refer to?

… and circle around…

This refers to the circle’s ______________

DIAMETER

Circumference

Page 10: Welcome to our Pi day adventure! Before we can eat our pies we have to help young Radius save his father, Sir Cumference. Let’s help Radius solve the

Find the hidden circles…

There’s one more…

Page 11: Welcome to our Pi day adventure! Before we can eat our pies we have to help young Radius save his father, Sir Cumference. Let’s help Radius solve the

154 = 49 π _ _ 49 49

3.14 = π

Evaluate the formula: C= dπ

Page 12: Welcome to our Pi day adventure! Before we can eat our pies we have to help young Radius save his father, Sir Cumference. Let’s help Radius solve the

Prove it… Multiply each diameter by three. Is the circumference approximately three times the value of the diameter?

3.5 • 3 = 10.5 7 • 3 = 21

14 • 3 = 42 17.5 • 3 = 52.5