To find the diameter, radius, circumference, and area of a circle, you can use the following formulas:
-
Diameter (d): The diameter is twice the radius. \[ d = 2r \]
-
Circumference (C): The circumference can be calculated using the formula: \[ C = \pi d \] or, since \(d = 2r\), \[ C = 2\pi r \]
-
Radius (r): The radius is half the diameter. \[ r = \frac{d}{2} \]
-
Area (A): The area of the circle can be calculated using the formula: \[ A = \pi r^2 \]
Example Calculations
Let's say we have a circle where the diameter is given as a certain number of feet. We'll use "d" for values:
-
Diameter (d): If the diameter is provided (e.g., 10 feet), we can directly write: \[ d = 10 \text{ feet} \]
-
Radius (r): \[ r = \frac{d}{2} = \frac{10}{2} = 5 \text{ feet} \]
-
Circumference (C): \[ C = \pi d = 3.14 \times 10 = 31.4 \text{ feet} \]
-
Area (A): \[ A = \pi r^2 = 3.14 \times (5^2) = 3.14 \times 25 = 78.5 \text{ square feet} \]
Summary (using an example of a diameter of 10 feet):
- Diameter = 10 feet
- Circumference = 31.4 feet
- Radius = 5 feet
- Area = 78.5 square feet
If you want to specify a different diameter for calculations, please provide that value!