If the circumference of a circle is 31.4 cm, what is its radius? (2022)

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Question: If the circumference of a circle is 31.4 cm, what is its radius? (2022)

Options:

Correct Answer: 5 cm

Exam Year: 2022

Solution:

Circumference = 2πr; 31.4 = 2 * π * r; r = 5 cm.

If the circumference of a circle is 31.4 cm, what is its radius? (2022)

If the circumference of a circle is 31.4 cm, what is its radius? (2022)

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. So we can write the equation: 31.4 = 2πr.
Step 3: To find the radius (r), we need to isolate r in the equation. First, divide both sides by 2π: r = 31.4 / (2π).
Step 4: Calculate the value of 2π. Using π ≈ 3.14, we find 2π ≈ 6.28.
Step 5: Now substitute this value back into the equation: r = 31.4 / 6.28.
Step 6: Perform the division: r ≈ 5 cm.

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