Math Problem Statement
what is the area of this circle? When calculating use 3.14 as the estimation of pi. round to one decimal place : the circle is 4 units.
Solution
To calculate the area of a circle, we use the formula:
Where:
- is the area of the circle,
- is approximately 3.14 (as per your instruction),
- is the radius of the circle.
Given that the diameter of the circle is 4 units, we first need to find the radius. The radius is half of the diameter:
Now, using the formula for the area:
Rounding to one decimal place:
So, the area of the circle is approximately 12.6 square units.
Would you like further details or clarifications on this? Here are a few related questions:
- How do you find the circumference of a circle?
- What if the radius was 3 units instead of 2 units, how would the area change?
- How is the value of used in real-world applications?
- How does the formula for the area of a circle differ from the area of a square?
- What is the formula to calculate the volume of a sphere?
Tip: Remember that the radius is always half of the diameter in a circle!
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Math Problem Analysis
Mathematical Concepts
Geometry
Circle Area Calculation
Formulas
Area of a circle: A = πr²
Theorems
Radius is half the diameter
Suitable Grade Level
Grades 6-8