Math Problem Statement
Solution
The image shows a circle with a radius of 9 cm, and you are tasked with finding the circumference and area of the circle. Here's how we can solve both problems:
Question 8: Find the Circumference
The formula for the circumference of a circle is:
Where:
- (as given),
- cm.
Substitute the values:
So, the circumference is 56.52 cm.
Question 9: Find the Area
The formula for the area of a circle is:
Substitute the values:
So, the area is 254.34 cm².
Do you want further details or have any questions?
Here are 5 related questions for practice:
- What would the circumference be if the radius were 12 cm?
- How does the area of the circle change if the radius is doubled?
- What is the formula for the diameter of a circle, and how can it help in finding the circumference?
- How would you find the radius if you only knew the circumference?
- How can you calculate the area if you are given the diameter instead of the radius?
Tip: Always double-check the units you're working with, especially for area and circumference!
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Math Problem Analysis
Mathematical Concepts
Geometry
Circle Measurements
Formulas
Circumference formula: C = 2πr
Area formula: A = πr^2
Theorems
Geometry of circles
Suitable Grade Level
Grades 6-8
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