How many times longer is the radius of the red circle than the radius of the blue circle?
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How many times longer is the radius of the red circle than the radius of the blue circle?
To solve this problem, we will calculate the ratio of the radius of the red circle to the radius of the blue circle.
Here are the steps:
Step 1: Identify the radii of the circles:
Radius of the red circle is half of the diameter,
Radius of the blue circleis half of the diameter,
Step 2: Use the formula for the ratio:
Step 3: Simplify the ratio:
Therefore, the radius of the red circle is twice the radius of the blue circle.
Therefore, the solution to the problem is .
Where does a point need to be so that its distance from the center of the circle is the shortest?
When comparing sizes, division tells you how many times larger one thing is than another. Subtraction only tells you the difference. Since the question asks "how many times longer," you need to divide: .
That's okay! You might get answers like 2.5 times or 1.3 times. Just make sure to express your answer as a decimal or fraction, and always double-check your division.
Yes, it matters! The question asks how many times longer the red circle's radius is than the blue circle's radius. So red goes on top: .
Multiply your answer by the smaller radius. If you get the larger radius, you're right! Check: ✓. This confirms the red radius is exactly 2 times the blue radius.
If you calculate , you're finding how many times longer the blue radius is than the red radius. Always read the question carefully to see which comparison is being asked!
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