Area of circle

YINGJI SU, Nov 21, 2024

Tutorial to explore the area of ​​a circle

Table of Contents

  1. Warn up Activity
    1. radius and diameter
    2. circumference
  2. Activities to connect old and new knowledge
    1. Parallelogram: Area
    2. Area of a Triangle
    3. Area of a Trapezoid
  3. Exploration Activities
    1. Copy of Area of a Circle: Revamped!
  4. Your Findings
    1. Circle & Triangle

1.

Warn up Activity

  • 1. radius and diameter
  • 2. circumference

1.1.

radius and diameter

Please draw the radius and diameter of circle O.
– YINGJI SU

1.2.

–

2.

Activities to connect old and new knowledge

  • 1. Parallelogram: Area
  • 2. Area of a Triangle
  • 3. Area of a Trapezoid

2.1.

Parallelogram: Area

Do you remember how we calculated the area of ​​a parallelogram?[br]How did we get the area formula of a parallelogram?
What method do we use?
– YINGJI SU, Tim Brzezinski

2.2.

–

2.3.

–

3.

Exploration Activities

  • 1. Copy of Area of a Circle: Revamped!

3.1.

Copy of Area of a Circle: Revamped!

What do you notice?
– YINGJI SU, Tim Brzezinski

4.

Your Findings

  • 1. Circle & Triangle

4.1.

Circle & Triangle

Below, 2 congruent circles are shown. Press the START THE SHOW button and carefully watch the dynamics that take place.
Can we use this method to calculate the area of circle? Was the triangle formed truly a triangle? Explain your reason.
– YINGJI SU, Tim Brzezinski

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