What is the length of the diameter of a circle with the equation (x - 1)² + (y +

₹0.0

Question: What is the length of the diameter of a circle with the equation (x - 1)² + (y + 2)² = 16?

Options:

Correct Answer: 8

Solution:

The radius is √16 = 4, so the diameter is 2 * radius = 8.

What is the length of the diameter of a circle with the equation (x - 1)² + (y + 2)² = 16?

What is the length of the diameter of a circle with the equation (x - 1)² + (y + 2)² = 16?

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.

No concepts available.