Consider a circle in the xy-plane that has a center of (2, 1) and that contains a point of (-2,-2). A. What is the radius of this circle? What is its diameter? Its circumference? (Note: if you have to dig up some old geometry notes to recall the formulas to work these out, feel welcome to do so.) B. Recall from your past geometry studies that a line tangent to a circle touches the circle at exactly one point and is perpendicular to the radius of the circle containing that point. Find the slope of the line tangent to our circle that contains the point (-2,-2).
Consider a circle in the xy-plane that has a center of (2, 1) and that contains a point of (-2,-2). A. What is the radius of this circle? What is its diameter? Its circumference? (Note: if you have to dig up some old geometry notes to recall the formulas to work these out, feel welcome to do so.) B. Recall from your past geometry studies that a line tangent to a circle touches the circle at exactly one point and is perpendicular to the radius of the circle containing that point. Find the slope of the line tangent to our circle that contains the point (-2,-2).
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:Consider a circle in the xy-plane that has a center of (2, 1) and that contains a point of (-2,-2).
A. What is the radius of this circle? What is its diameter? Its circumference? (Note: if you have to dig up some old geometry notes to recall the formulas
to work these out, feel welcome to do so.)
B. Recall from your past geometry studies that a line tangent to a circle touches the circle at exactly one point and is perpendicular to the radius of the
circle containing that point. Find the slope of the line tangent to our circle that contains the point (—2, —2).
C. In point-slope form, express an equation for the line tangent to our circle that contains the point (-2,-2).
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