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What is the diameter of a circle with an area of 50.24 cm²? (2019)
What is the diameter of a circle with an area of 50.24 cm²? (2019)
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Practice Questions
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Q1
What is the diameter of a circle with an area of 50.24 cm²? (2019)
8 cm
10 cm
12 cm
14 cm
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Area = πr²; 50.24 = πr²; r² = 50.24/π; r ≈ 4 cm; Diameter = 2r = 8 cm.
Questions & Step-by-step Solutions
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Q
Q: What is the diameter of a circle with an area of 50.24 cm²? (2019)
Solution:
Area = πr²; 50.24 = πr²; r² = 50.24/π; r ≈ 4 cm; Diameter = 2r = 8 cm.
Steps: 8
Show Steps
Step 1: Write down the formula for the area of a circle, which is Area = πr².
Step 2: Substitute the given area (50.24 cm²) into the formula: 50.24 = πr².
Step 3: To find r², divide both sides by π: r² = 50.24 / π.
Step 4: Calculate the value of r² using the value of π (approximately 3.14): r² ≈ 50.24 / 3.14.
Step 5: Find the value of r by taking the square root of r²: r ≈ √(50.24 / 3.14).
Step 6: Calculate the approximate value of r, which is about 4 cm.
Step 7: To find the diameter, use the formula Diameter = 2r: Diameter = 2 * 4 cm.
Step 8: Calculate the diameter: Diameter = 8 cm.
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