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If the area of a circle is 36π, what is the radius?
If the area of a circle is 36π, what is the radius?
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Practice Questions
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Q1
If the area of a circle is 36π, what is the radius?
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Area = πr^2 => 36π = πr^2 => r^2 = 36 => r = 6.
Questions & Step-by-step Solutions
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Q
Q: If the area of a circle is 36π, what is the radius?
Solution:
Area = πr^2 => 36π = πr^2 => r^2 = 36 => r = 6.
Steps: 5
Show Steps
Step 1: Write down the formula for the area of a circle, which is Area = πr^2.
Step 2: We know the area is 36π, so we can set up the equation: 36π = πr^2.
Step 3: To simplify, divide both sides of the equation by π. This gives us: 36 = r^2.
Step 4: Now, we need to find the radius (r). To do this, take the square root of both sides: r = √36.
Step 5: Calculate the square root of 36, which is 6. So, r = 6.
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