What is the radius of a circle with a circumference of 31.4 units?

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Question: What is the radius of a circle with a circumference of 31.4 units?

Options:

Correct Answer: 5 units

Solution:

The formula for circumference is C = 2πr. Solving for r gives r = C/(2π) = 31.4/(2π) = 5 units.

What is the radius of a circle with a circumference of 31.4 units?

What is the radius of a circle with a circumference of 31.4 units?

Step 1: Understand that the circumference (C) of a circle is related to its radius (r) by the formula C = 2πr.
Step 2: We know the circumference is 31.4 units, so we can write the equation as 31.4 = 2πr.
Step 3: To find the radius (r), we need to rearrange the formula. We can do this by dividing both sides by 2π.
Step 4: This gives us r = 31.4 / (2π).
Step 5: Now, we need to calculate the value of r. First, calculate 2π, which is approximately 6.28.
Step 6: Now divide 31.4 by 6.28. This gives us r = 5 units.

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