Math Problem Statement
Find the area of the circle to the nearest whole square foot. Use 3.14 as an approximation for π.
Solution
To solve the problem of finding the area of the circle, we can use the formula for the area of a circle:
Here, is the radius of the circle, and is given as 3.14. According to the image, the diameter of the circle is 8 feet, so the radius is half of the diameter:
Now, substitute the values into the area formula:
Rounding 50.24 to the nearest whole number, we get:
So, the area of the circle is 50 square feet.
Would you like any more details or have any questions? Here are some related questions for further exploration:
- How would the area change if the diameter was doubled?
- What would the area be if were approximated as 22/7 instead of 3.14?
- How would you calculate the circumference of this circle?
- If the circle’s diameter was given in inches instead of feet, how would the calculation change?
- How do you find the area of a sector of a circle given the central angle?
Tip: Always remember that the radius is half the diameter when calculating the area of a circle.
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Math Problem Analysis
Mathematical Concepts
Geometry
Area of a Circle
Formulas
Area = π × r^2
Theorems
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Suitable Grade Level
Grades 6-8