If the circumference of a circle is 31.4 units, what is the radius? (Use π = 3.1

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Question: If the circumference of a circle is 31.4 units, what is the radius? (Use π = 3.14) (2020)

Options:

Correct Answer: 5

Exam Year: 2020

Solution:

The circumference C = 2πr. Setting 31.4 = 2 * 3.14 * r gives r = 5.

If the circumference of a circle is 31.4 units, what is the radius? (Use π = 3.14) (2020)

If the circumference of a circle is 31.4 units, what is the radius? (Use π = 3.14) (2020)

Step 1: Write down the formula for the circumference of a circle, which is C = 2πr.
Step 2: Substitute the value of the circumference (C = 31.4) into the formula: 31.4 = 2πr.
Step 3: Use the value of π (3.14) in the equation: 31.4 = 2 * 3.14 * r.
Step 4: Calculate 2 * 3.14, which equals 6.28. Now the equation is: 31.4 = 6.28r.
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. Therefore, the radius r is 5.

Circumference of a Circle – Understanding the relationship between the circumference, radius, and π in a circle.
Solving for Variables – Applying algebraic manipulation to isolate the variable (radius) in an equation.