Area of a Circle

The radius and the number π determine the area of a square.  By multiplying the length of the radius, the line segment starting from the middle of the circle to the edge, and 3.14, the exact area of the shape can be found. 

A real-world example of using the area of a circle is when designing a circular garden or flower bed. Suppose you want to create a circular flower bed in your backyard and need to know how much soil and mulch to buy.

First, measure the circle's radius, which is the distance from the center to the edge. Let's say the radius is 3 meters. You can find the area of the circle using the formula:

A= πr^2  

Area=π×3^2

Area=π×9 

Area≈3.14×9 

Area≈ 28.26square meters 

By calculating the area, you determine that the circular flower bed is approximately 28.26 square meters. This helps you estimate how much soil and mulch you'll need to cover the area adequately, ensuring you buy the right materials for your gardening project.

Another example of using the area of a circle in the real world is in planning the seating area for a round table at an event. Suppose you are organizing a banquet and want to ensure there's enough space around each round table for guests to sit comfortably.

First, determine the radius of the table, which is half the diameter. Let's say the table has a radius of 1.5 meters. To find the area, use the formula for the area of a circle:

Area=πr^2

Area=π×1.52 

Area=π×2.25

Area≈3.14×2.25 

Area≈7.07square meters