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What is the length of the diameter of a circle with the equation (x - 1)² + (y +
What is the length of the diameter of a circle with the equation (x - 1)² + (y + 2)² = 16?
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Q1
What is the length of the diameter of a circle with the equation (x - 1)² + (y + 2)² = 16?
4
8
16
2
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The radius is √16 = 4, so the diameter is 2 * radius = 8.
Questions & Step-by-step Solutions
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Q
Q: What is the length of the diameter of a circle with the equation (x - 1)² + (y + 2)² = 16?
Solution:
The radius is √16 = 4, so the diameter is 2 * radius = 8.
Steps: 5
Show Steps
Step 1: Identify the equation of the circle, which is (x - 1)² + (y + 2)² = 16.
Step 2: Recognize that the general form of a circle's equation is (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.
Step 3: From the equation, we see that r² = 16.
Step 4: To find the radius, take the square root of 16, which is √16 = 4.
Step 5: The diameter of a circle is twice the radius, so calculate the diameter as 2 * radius = 2 * 4 = 8.
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