Math Problem Statement
Solution
The image shows a circle with a radius of 16.5 inches, and the question asks to find the circumference of the circle in terms of .
The formula for the circumference of a circle is given by:
Where is the radius of the circle. In this case, inches, so the circumference in terms of would be:
Therefore, the circumference of the circle is inches.
Would you like further details or have any questions?
Here are 5 related questions to expand on this topic:
- What is the area of the circle with radius 16.5 inches in terms of ?
- How would the circumference change if the radius were doubled?
- Can you explain how the formula for circumference is derived from the properties of a circle?
- How does the circumference change if you change the radius by a factor of ?
- What is the difference between the circumference and the diameter of a circle?
Tip: The circumference formula uses , while the area formula uses . Both involve the radius and , but the operations differ: circumference involves multiplication, and area involves squaring.
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Math Problem Analysis
Mathematical Concepts
Geometry
Circle
Circumference
Formulas
Circumference of a circle: C = 2πr
Theorems
Properties of a circle
Circumference theorem
Suitable Grade Level
Grades 8-10
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