Math Problem Statement
Find the circumference and area of the adjacent circle. Use the pi key for pi. 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. m squared . (Type an integer or decimal rounded to the nearest tenth as needed.)
Solution
To solve for both the circumference and the area of a circle, we can use the formulas below:
- Circumference:
- Area:
where is the radius of the circle.
Given:
- Radius () = 7.3 meters
Part 1: Circumference
The circumference, rounded to the nearest tenth, is approximately 45.9 meters.
Part 2: Area
The area, rounded to the nearest tenth, is approximately 167.4 square meters.
Would you like further explanation on these calculations, or have any specific questions?
Here are five related questions to deepen your understanding:
- How would the area and circumference change if the radius doubled?
- Can you calculate the diameter of the circle and use it to find the circumference?
- What is the formula for the area of a sector if only a portion of the circle is given?
- How does rounding to different decimal places affect the precision of circumference and area?
- Can you express the circumference and area in terms of a fraction of for exact values?
Tip: Remember that for circular calculations, keeping a few more decimal places in can help maintain precision in intermediate steps before rounding the final answer.
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Math Problem Analysis
Mathematical Concepts
Geometry
Circles
Measurement of Circumference and Area
Formulas
Circumference = 2πr
Area = πr^2
Theorems
Properties of circles
Area and circumference relationships
Suitable Grade Level
Grades 6-8
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