Math Problem Statement
You have also been asked to help set up the basketball court.
What is the circumference of the circle?
(C = πd)
m
What is the area of the circle?
(A = πr2)
m2
(give your answer to 2 decimal places.)
(Use π = 3.14)
Solution
To solve this, let's calculate the circumference and area of the circle based on the given formulas.
Given Data:
- Diameter () = 1.8 m
- Radius () =
- Use
Step 1: Calculate the circumference
The formula is: Substituting the values: To two decimal places:
Step 2: Calculate the area
The formula is: Substituting the values: To two decimal places:
Final Answers:
- Circumference:
- Area:
Would you like a detailed explanation of these steps or help with a related problem?
Here are 5 questions to deepen your understanding:
- What would the circumference be if the diameter were doubled?
- How does the radius affect the area of a circle?
- If were approximated as 3.1416, how would the results change?
- What is the relationship between the diameter and the radius of a circle?
- Can you derive the formula for the area of a circle using calculus?
Tip: Always ensure that units match in your calculations to avoid errors!
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Math Problem Analysis
Mathematical Concepts
Geometry
Circle
Circumference
Area
Formulas
Circumference of a circle: C = πd
Area of a circle: A = πr²
Theorems
Basic properties of circles
Suitable Grade Level
Grades 6-8