Math Problem Statement
Find the area of a circle with a diameter of 5
Solution
To find the area of a circle, we use the formula:
Where is the radius of the circle. The radius is half the diameter, so for a circle with a diameter of 5, the radius is:
Now, we substitute into the area formula:
Approximating as 3.14:
So, the area of the circle is approximately 19.625 square units.
Would you like more details or have any questions?
Here are some related questions you can explore:
- What happens to the area of a circle if the radius is doubled?
- How do you find the circumference of a circle if you know the diameter?
- What is the relationship between the diameter and the radius of a circle?
- How does changing the value of affect the area of a circle?
- Can the formula for the area of a circle be used for ellipses?
Tip: When dealing with circles, it's often easier to work with the radius since the formulas for both area and circumference are based on the radius.
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Math Problem Analysis
Mathematical Concepts
Geometry
Circles
Area of a Circle
Formulas
Area = πr²
Theorems
Area of a circle theorem
Suitable Grade Level
Grades 5-7