Math Problem Statement
Find the circumference and area of the adjacent circle. Use the pi key for pi. 6.6 m Question content area bottom Part 1 The circumference of the circle is approximately
enter your response here ▼ m squared . m. (Type an integer or decimal rounded to the nearest tenth as needed.)
Solution
To find the circumference and area of the circle, we use the radius meters.
Circumference
The formula for the circumference of a circle is:
Substitute meters:
So, the circumference of the circle is approximately 41.5 meters.
Area
The formula for the area of a circle is:
Substitute meters:
So, the area of the circle is approximately 136.9 square meters.
Would you like more details on the calculations, or do you have any questions?
Here are some related questions to deepen your understanding:
- What is the diameter of this circle, and how does it relate to the radius?
- How would the circumference and area change if the radius were doubled?
- How would you convert the area from square meters to square centimeters?
- Why does the area grow faster than the circumference as the radius increases?
- What are real-world applications of calculating the circumference and area of circles?
Tip: Remember, when rounding, ensure consistency in decimal places throughout your solution!
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Math Problem Analysis
Mathematical Concepts
Geometry
Circle properties
Circumference and Area calculations
Formulas
Circumference of a circle: C = 2πr
Area of a circle: A = πr^2
Theorems
Properties of circles related to circumference and area
Suitable Grade Level
Grades 6-8
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