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 x^{2} + y^{2} - 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 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… 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

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