Circumference

Tree, May 13, 2019

Table of Contents

  1. basic Circumference problems
    1. Arcs and Radii
    2. Perimeter & Circumference 1
    3. Perimeter & Circumference 2
  2. learning about Pi
    1. TRUE MEANING of π
    2. 劉徽的「割圓術」
    3. 於圓周率日一起學習是緣份、恩典
  3. Circles within a Circle
    1. Circles within Circle 1
    2. Semicircles within Semicircle
    3. Four Semi-circles
    4. Squares within Square v.3
    5. 2.大中小圓問題
  4. 'Rugby' shape problems
    1. 圓形重疊問題
    2. 'Rugby' shape & its Perimeter
    3. 'Rugby' shape & its Perimeter
    4. 'Rugby' shape & its Perimeter
  5. more for Explorations
    1. Three Touching Circles
    2. 3 touching circles

1.

basic Circumference problems

  • 1. Arcs and Radii
  • 2. Perimeter & Circumference 1
  • 3. Perimeter & Circumference 2

1.1.

Arcs and Radii

Express the perimeter of your figure in terms of C, the circumference and r, the radius of the circle.
– spkwan

1.2.

–

1.3.

–

2.

learning about Pi

  • 1. TRUE MEANING of π
  • 2. 劉徽的「割圓術」
  • 3. 於圓周率日一起學習是緣份、恩典

2.1.

TRUE MEANING of π

Note: LARGE WHITE POINT is MOVEABLE.
1.
How many diameters were we able to wrap perfectly around this circle? [br](Round your answer to the nearest 0.01.)
2.
Move the LARGE WHITE POINT a bit (to change the size of the circle). Does your answer to question (1) change at all?
3.
Does your response for (1) look familiar? Where you have you seen this number before?
Quick (Silent) Demo
– Tim Brzezinski

2.2.

–

2.3.

–

3.

Circles within a Circle

  • 1. Circles within Circle 1
  • 2. Semicircles within Semicircle
  • 3. Four Semi-circles
  • 4. Squares within Square v.3
  • 5. 2.大中小圓問題

3.1.

Circles within Circle 1

worksheet
reference
– spkwan

3.2.

–

3.3.

–

3.4.

–

3.5.

–

4.

'Rugby' shape problems

  • 1. 圓形重疊問題
  • 2. 'Rugby' shape & its Perimeter
  • 3. 'Rugby' shape & its Perimeter
  • 4. 'Rugby' shape & its Perimeter

4.1.

圓形重疊問題

– Cychoy

4.2.

–

4.3.

–

4.4.

–

5.

more for Explorations

  • 1. Three Touching Circles
  • 2. 3 touching circles

5.1.

Three Touching Circles

– spkwan

5.2.

–

Information