sat suite question viewer
Points and lie on a circle with center . The radius of this circle is inches. Triangle has a perimeter of inches. What is the length, in inches, of ?
Explanation
Choice B is correct. Since it's given that is the center of a circle with a radius of inches, and that points and lie on that circle, it follows that and of triangle each have a length of inches. Let the length of be inches. It follows that the perimeter of triangle is inches. Since it's given that the perimeter of triangle is inches, it follows that , or . Subtracting from both sides of this equation gives . Therefore, the length, in inches, of is .
Choice A is incorrect and may result from conceptual or calculation errors.
Choice C is incorrect and may result from conceptual or calculation errors.
Choice D is incorrect and may result from conceptual or calculation errors.