A circle has a circumference of 62.8 cm. What is its radius?

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Question: A circle has a circumference of 62.8 cm. What is its radius?

Options:

Correct Answer: 10 cm

Solution:

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

A circle has a circumference of 62.8 cm. What is its radius?

A circle has a circumference of 62.8 cm. What is its radius?

Step 1: Understand that the circumference of a circle is given by the formula: Circumference = 2πr, where r is the radius.
Step 2: We know the circumference is 62.8 cm. So we can set up the equation: 62.8 = 2πr.
Step 3: To find the radius (r), we need to rearrange the equation. We can do this by dividing both sides by 2π: r = 62.8 / (2π).
Step 4: Now, we need to calculate the value of 2π. Using π ≈ 3.14, we find 2π ≈ 6.28.
Step 5: Substitute 6.28 into the equation: r = 62.8 / 6.28.
Step 6: Now, perform the division: r ≈ 10 cm.

Circumference of a Circle – The relationship between the circumference and radius of a circle is given by the formula C = 2πr.
Solving for Radius – Rearranging the circumference formula to solve for the radius involves basic algebra.