If the area of a circle is 9π square meters, what is its diameter?
Options
A
3 m
B
6 m
C
9 m
D
18 m
Answer & Analysis
Answer
B
Analysis
Question Analysis
The main focus is using the area formula of a circle to find the radius first, and then determining the diameter from the radius. Given the area value, we need to reverse - engineer the formula .
Key Concept Explanation
The area formula for a circle is , where is the area and is the radius. The diameter of a circle is related to the radius by . To find the radius when the area is known, we divide by to get , then take the square root.
Step - by - Step Solution
1. Start with the formula , and substitute . We get .
2. Divide both sides of the equation by :
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