Math Problem Statement
Solution
The image contains a circle with a diameter of 8 yards, and the task is to find its area and circumference using .
Given:
- Diameter () = 8 yards
- Radius () = yards
- = 3.14
Formulas:
-
Area of a circle:
Substituting values: -
Circumference of a circle:
Substituting values:
Final Answers:
- Area = 50.24 square yards
- Circumference = 25.12 yards
Would you like more details on these calculations or further questions? Here are five related questions:
- How would the area change if the diameter was doubled?
- What would the circumference be if the radius was 10 yards instead?
- How can you derive the radius if you're only given the circumference?
- What is the ratio of the circumference to the diameter of any circle?
- If the diameter was given in feet, how would you convert it to yards?
Tip: Always remember that the radius is half of the diameter, and most circle formulas are based on the radius.
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Math Problem Analysis
Mathematical Concepts
Geometry
Circle Properties
Formulas
Area of a circle: A = πr^2
Circumference of a circle: C = πd
Theorems
-
Suitable Grade Level
Grades 6-8
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