A circle is described by the equation x^2 + y^2 - 16x = 0. What is the length of the chord that is 4 units from the center of the circle? A circle is described by the equation x2 + y2 - 16x = 0. What is the length of the chord that is 4 units from the center of the circle? A. 12.563 units C. 8.523 units B. 13.856 units D. 9.632 units Solution Click here to… Jhun Vert Fri, 07/05/2024 - 06:07 Solution Click here to expand or collapse this section $x^2 + y^2 - 16x = 0$ $(x^2 - 16x) + y^2 = 0$ $(x^2 - 16x + 64) + y^2 = 64$ $(x - 8)^2 + y^2 = 8^2$ $\text{Radius} = 8$ $a^2 + 4^2 = 8^2$ $a = 6.9282$ $\text{Length of chord} = 2a$ $\text{Length of chord} = 13.856 ~ \text{units}$ Log in or register to post comments Log in or register to post comments
Solution Click here to… Jhun Vert Fri, 07/05/2024 - 06:07 Solution Click here to expand or collapse this section $x^2 + y^2 - 16x = 0$ $(x^2 - 16x) + y^2 = 0$ $(x^2 - 16x + 64) + y^2 = 64$ $(x - 8)^2 + y^2 = 8^2$ $\text{Radius} = 8$ $a^2 + 4^2 = 8^2$ $a = 6.9282$ $\text{Length of chord} = 2a$ $\text{Length of chord} = 13.856 ~ \text{units}$ Log in or register to post comments
Solution Click here to…