Math Problem Statement
Find the area A and circumference C of a circle of radius 44 meters. Question content area bottom Part 1 Aequals=enter your response here ▼ meters cubic meters square meters (Type an exact answer in terms of piπ.) Part 2 Cequals=enter your response here ▼ cubic meters meters square meters (Type an exact answer in terms of piπ.)
Solution
To find the area and the circumference of a circle with radius meters, we can use the following formulas:
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Area of a circle:
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Circumference of a circle:
Part 1: Area
So, the area is:
Part 2: Circumference
So, the circumference is:
Would you like more details or further explanations on any part?
Here are 5 related questions for you to explore:
- How would the area change if the radius was doubled?
- What is the numerical approximation of the area and circumference if is approximated as 3.14?
- What is the diameter of the circle?
- How does the area relate to the circumference for this circle?
- What is the ratio of the circumference to the radius of any circle?
Tip: The circumference of a circle is always proportional to its radius, with the constant of proportionality being .
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Math Problem Analysis
Mathematical Concepts
Geometry
Circles
Area of Circle
Circumference of Circle
Formulas
Area of a circle: A = πr^2
Circumference of a circle: C = 2πr
Theorems
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Suitable Grade Level
Grades 6-8