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

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Question: If a circle has a circumference of 31.4 cm, what is the radius of the circle? (Use π = 3.14)

Options:

Correct Answer: 5 cm

Solution:

The circumference C of a circle is given by C = 2πr. Thus, 31.4 = 2 * 3.14 * r, which gives r = 5 cm.

If a circle has a circumference of 31.4 cm, what is the radius of the circle? (Use π = 3.14)

If a circle has a circumference of 31.4 cm, what is the radius of the circle? (Use π = 3.14)

Step 1: Write down the formula for the circumference of a circle, which is C = 2πr.
Step 2: Substitute the given circumference (31.4 cm) into the formula: 31.4 = 2 * 3.14 * r.
Step 3: Calculate 2 * 3.14, which equals 6.28.
Step 4: Now the equation looks like this: 31.4 = 6.28 * r.
Step 5: To find r, divide both sides of the equation by 6.28: r = 31.4 / 6.28.
Step 6: Calculate 31.4 divided by 6.28, which equals 5 cm.
Step 7: Therefore, the radius of the circle is 5 cm.

Circumference of a Circle – The relationship between the circumference (C) and radius (r) of a circle, expressed as C = 2πr.
Use of π – Understanding how to apply the value of π in calculations, specifically using π = 3.14 in this case.