If a circle has a circumference of 31.4 cm, what is the radius of the circle?

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Question: If a circle has a circumference of 31.4 cm, what is the radius of the circle?

Options:

Correct Answer: 5 cm

Solution:

The circumference C = 2πr. Thus, r = C/(2π) = 31.4/(2π) ≈ 5 cm.

If a circle has a circumference of 31.4 cm, what is the radius of the circle?

If a circle has a circumference of 31.4 cm, what is the radius of the circle?

Step 1: Understand that the circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius.
Step 2: We know the circumference (C) is 31.4 cm.
Step 3: To find the radius (r), we need to rearrange the formula to solve for r. This gives us r = C / (2π).
Step 4: Substitute the value of C into the formula: r = 31.4 / (2π).
Step 5: Calculate the value of 2π. (Use 3.14 for π, so 2π ≈ 6.28).
Step 6: Now divide 31.4 by 6.28 to find the radius: r ≈ 31.4 / 6.28.
Step 7: Perform the division: r ≈ 5 cm.

Circumference of a Circle – The relationship between the circumference (C) and the radius (r) of a circle is given by the formula C = 2πr.
Solving for Radius – To find the radius, rearranging the formula to r = C/(2π) is necessary.