What is the radius of a circle if the circumference is 62.8 cm? (2016)

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Question: What is the radius of a circle if the circumference is 62.8 cm? (2016)

Options:

Correct Answer: 10 cm

Exam Year: 2016

Solution:

Circumference = 2πr; 62.8 = 2πr; r = 62.8/(2π) ≈ 10 cm.

What is the radius of a circle if the circumference is 62.8 cm? (2016)

What is the radius of a circle if the circumference is 62.8 cm? (2016)

Step 1: Understand the formula for the circumference of a circle, which is Circumference = 2πr, where r is the radius.
Step 2: You are given the circumference, which is 62.8 cm.
Step 3: Set up the equation using the formula: 62.8 = 2πr.
Step 4: To find the radius (r), you need to isolate r in the equation. Start by dividing both sides by 2π.
Step 5: Rewrite the equation: r = 62.8 / (2π).
Step 6: Calculate the value of r using the approximate value of π (about 3.14). So, 2π is approximately 6.28.
Step 7: Now, divide 62.8 by 6.28 to find r: r ≈ 10 cm.

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