What is the length of the radius of a circle if the circumference is 31.4 cm?

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Question: What is the length of the radius of a circle if the circumference is 31.4 cm?

Options:

Correct Answer: 7 cm

Solution:

The circumference C of a circle is given by C = 2πr. Thus, r = C / (2π) = 31.4 / (2π) ≈ 5 cm.

What is the length of the radius of a circle if the circumference is 31.4 cm?

What is the length of the radius of a circle if the circumference is 31.4 cm?

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 cm, 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: Write the equation for r: r = C / (2π).
Step 5: Substitute the value of C (31.4 cm) into the equation: r = 31.4 / (2π).
Step 6: Calculate the value of r using the approximate value of π (about 3.14): r ≈ 31.4 / (2 * 3.14).
Step 7: Perform the calculation: r ≈ 31.4 / 6.28 ≈ 5 cm.

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