How can you find the area of a circle?
How to Calculate the Area of a Circle
Area is the amount of space inside a shape. The area of a circle is calculated using its radius. The formula for finding the area of a circle is πr².
Concepts:
Area: The amount of space inside a shape. Radius: The distance from the center of a circle to any point on the circumference. π: A mathematical constant equal to 3.14159.
Which method is best for calculating the area of a circle?
- Using the formula A = pi x r^2
- Measuring the circumference and diameter
- Counting the number of unit squares inside the circle
Fun facts:
π is an irrational number, meaning its decimal form never ends or repeats. The symbol for π was first used in 1706 by William Jones. Archimedes used π to approximate the area of a circle around 250 BC.
Draw / write: How does the area of a circle relate to the circumference?
Draw / write: What is the formula for the area of a circle?
Do you think it is easier to calculate the area of a circle or the circumference of a circle?
How could understanding the area of a circle help you solve problems in your everyday life?