Math Problem Statement
Solution
To find the area and circumference of the circle, we'll use the following formulas:
-
Circumference: where cm and .
-
Area: where cm.
Step-by-step calculation:
Circumference:
Area:
Thus:
- Area = 38.465 cm²
- Circumference = 21.98 cm
Let me know if you'd like further details or have any questions!
Here are five related questions:
- What is the formula for the area of a sector of a circle?
- How would the area change if the diameter was doubled?
- Can you find the radius if the circumference is known?
- What is the relationship between diameter and radius?
- What units should be used for circumference and area?
Tip:
Always make sure to keep track of units in every step of your calculation to avoid confusion.
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Math Problem Analysis
Mathematical Concepts
Geometry
Circle Properties
Formulas
Circumference of a circle: C = π × d
Area of a circle: A = π × r²
Theorems
Basic Circle Theorems
Suitable Grade Level
Grades 6-8
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