Calculating the Area of a 16x16 Circle and Square
When working with dimensions, it's essential to understand how to calculate the area of different shapes. In this article, we'll explore how to calculate the area of a 16x16 circle and square in square feet.
Calculating the Area of a 16x16 Square
A square is a two-dimensional shape with four sides of equal length. To calculate the area of a square, you need to multiply the length of one side by itself.
Formula: Area = side × side Area of a 16x16 square: Area = 16 × 16 = 256 square feet
Calculating the Area of a 16x16 Circle
A circle is a two-dimensional shape with no corners or edges. To calculate the area of a circle, you need to use the formula:
Formula: Area = π × radius × radius Where: π is a mathematical constant approximately equal to 3.14
To find the area of a 16x16 circle, we need to find the radius first. Since the diameter of the circle is 16 feet, the radius is half of that:
Radius: 16 feet / 2 = 8 feet
Now, plug in the value of the radius into the formula:
Area of a 16x16 circle: Area = 3.14 × 8 × 8 = 201.06 square feet
Comparison of Areas
Now that we have calculated the areas of both the 16x16 square and circle, let's compare them:
- Area of a 16x16 square: 256 square feet
- Area of a 16x16 circle: 201.06 square feet
The area of the square is slightly larger than the area of the circle. This is because a circle has a curved boundary, which means it covers less area than a square with the same diameter.
