This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Right Krishna, let's go. Step 1: Identify the center and a point on the circle. The center of the circle is (h, k) = (1, 1). The circle passes through the point (x, y) = (2, -3). Step 2: Calculate the radius of the circle. The radius r is the distance between the center and the point on the circle. We use the distance formula: r = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2). r = sqrt((2 - 1)^2 + (-3 - 1)^2) r = sqrt((1)^2 + (-4)^2) r = sqrt(1 + 16) r = sqrt(17) Step 3: Calculate the diameter of the circle. The diameter D is twice the radius. D = 2r D = 2sqrt(17) Step 4: Match the result with the given options. The calculated diameter is 2sqrt(17), which corresponds to option (A). The final answer is A. Send me the next one 📸