What is the radius of a circle whose area is 113.04 cm²?

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Question: What is the radius of a circle whose area is 113.04 cm²?

Options:

Correct Answer: 7 cm

Solution:

Area = πr², so r = √(Area/π) = √(113.04/π) ≈ 6 cm.

What is the radius of a circle whose area is 113.04 cm²?

What is the radius of a circle whose area is 113.04 cm²?

Step 1: Understand that the area of a circle is calculated using the formula Area = πr², where r is the radius.
Step 2: We know the area is 113.04 cm². We need to find the radius (r).
Step 3: Rearrange the formula to solve for r: r = √(Area/π).
Step 4: Substitute the area into the formula: r = √(113.04/π).
Step 5: Calculate π (approximately 3.14) and divide 113.04 by π: 113.04/3.14 ≈ 36.0.
Step 6: Now take the square root of 36.0: √36.0 = 6.
Step 7: Therefore, the radius of the circle is approximately 6 cm.

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