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

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

Options:

Correct Answer: 5 cm

Solution:

Using the formula C = 2πr, we find r = C/(2π) = 31.4/(2*3.14) = 5 cm.

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

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

Step 1: Understand that the circumference (C) of a circle is given by the formula C = 2πr, where r is the radius.
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: The formula for the radius becomes r = C / (2π).
Step 5: Substitute the value of C (31.4 cm) into the formula: r = 31.4 / (2 * π).
Step 6: Use the approximate value of π (3.14) to calculate: r = 31.4 / (2 * 3.14).
Step 7: Calculate 2 * 3.14, which equals 6.28.
Step 8: Now divide 31.4 by 6.28 to find the radius: r = 31.4 / 6.28.
Step 9: Perform the division: r = 5 cm.

Circumference of a Circle – The circumference (C) of a circle is calculated using the formula C = 2πr, where r is the radius.
Solving for Radius – To find the radius from the circumference, rearranging the formula to r = C/(2π) is necessary.
Use of π – Understanding that π can be approximated as 3.14 for calculations.