What is the diameter of a circle with an area of 50π square units? (2017)

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Question: What is the diameter of a circle with an area of 50π square units? (2017)

Options:

Correct Answer: 10 units

Exam Year: 2017

Solution:

Area = πr²; 50π = πr²; r² = 50; r = √50; Diameter = 2√50 ≈ 10 units.

What is the diameter of a circle with an area of 50π square units? (2017)

What is the diameter of a circle with an area of 50π square units? (2017)

Step 1: Write down the formula for the area of a circle, which is Area = πr².
Step 2: Substitute the given area (50π) into the formula: 50π = πr².
Step 3: To simplify, divide both sides by π: 50 = r².
Step 4: Now, to find the radius (r), take the square root of both sides: r = √50.
Step 5: The diameter (D) of a circle is twice the radius, so use the formula D = 2r.
Step 6: Substitute the value of r into the diameter formula: D = 2√50.
Step 7: You can approximate √50 to get a numerical value for the diameter: D ≈ 10 units.

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