Math Problem Statement
Find the circumference and area of the adjacent circle. 7.3 m Question content area bottom Part 1 The circumference of the circle is approximately
22.9 m. (Type an integer or decimal rounded to the nearest tenth as needed.) Part 2 The area of the circle is approximately
enter your response here m squared . (Type an integer or decimal rounded to the nearest tenth as needed.)
Solution
To solve this, let's use the formulas for the circumference and area of a circle.
Given:
- Radius
Part 1: Circumference
The formula for the circumference of a circle is: Substitute :
Part 2: Area
The formula for the area of a circle is: Substitute :
Final Answers
- Circumference:
- Area:
Would you like more details, or have any questions?
Here are five related questions to extend understanding:
- What would the area be if the radius was doubled?
- How does changing the radius affect the circumference?
- Can you derive the formulas for circumference and area from first principles?
- How would the formulas change if this were a semicircle?
- What is the area-to-circumference ratio, and what does it signify?
Tip: Always use or the button on a calculator for more accurate results.
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Math Problem Analysis
Mathematical Concepts
Geometry
Circle Properties
Formulas
Circumference of a circle: C = 2πr
Area of a circle: A = πr²
Theorems
Definition of a Circle
Properties of π (Pi)
Suitable Grade Level
Grades 6-8