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Math 4 pair work on circles

Williard Joshua Jose
Williard Joshua Jose

This document provides instructions for a pair work assignment on circles in mathematics. Students are asked to work in pairs to find the equations of circles given certain conditions in problems 1 through 7. Problems 8 through 10 require solving for specific values related to circles such as finding the value of k in an equation, the radius, or center of a circle. Students are to show their work and solutions on paper to turn in for the assignment.

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Pair Work on Circles Mathenlatics 4 Second Quarter .. August 8, 2010 Vork on this problem set by pairs. Answers and complete solutions should be printed or written on Letter or A4 size white paper. Work with a different partner from the first, pair work. . For numbers 1 to 7, find the equation of the circle(s) satisfying the given conditions: (3 points each) . For numbers 8 to 10, solve each problem as specified. (4 points each) 1. Center at (3, -1) and passes through the point (-2,2). 2. Has a diameter whose endpoints are (-2,4) and (4,2). 3. Center at (5, -2), the midpoint of the segment joining the center and one of the points on the circle is (-2,1). 4. Passes through P(5, -4) with R( - , -8) being the point ~ of the way from the center to P. 5. Passes through t.he points (-1,0), (0,2), and (2,0). (Use syst.ems of equations) 6. PaR"IeS through the points (-4,-3)' (-2,1), and (-:3,-6). (Use analytic geomet.ry) 7. Radius is 2 and passing through the points (1,2) and (:1,4). 8. The circle x 2 + y2 + 4x -- 6y k passes through the point (-1,-1). Find the value of k, the radius, and the center of the circle. 9. For what values of rand .9 will x 2 + y2 + 'rx + sy 25 0 be the equation of a circle having center at. (3A)? Fiud the radius of this cirde. 10. Determine the value(s) of kso that the graph of 2 k 2 4k 110 + y + 2:z:: - 4y = - - - 2 - 足 is a circle, a point, or an empty set.

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Math 4 pair work on circles

  • 1. Pair Work on Circles Mathenlatics 4 Second Quarter .. August 8, 2010 Vork on this problem set by pairs. Answers and complete solutions should be printed or written on Letter or A4 size white paper. Work with a different partner from the first, pair work. . For numbers 1 to 7, find the equation of the circle(s) satisfying the given conditions: (3 points each) . For numbers 8 to 10, solve each problem as specified. (4 points each) 1. Center at (3, -1) and passes through the point (-2,2). 2. Has a diameter whose endpoints are (-2,4) and (4,2). 3. Center at (5, -2), the midpoint of the segment joining the center and one of the points on the circle is (-2,1). 4. Passes through P(5, -4) with R( - , -8) being the point ~ of the way from the center to P. 5. Passes through t.he points (-1,0), (0,2), and (2,0). (Use syst.ems of equations) 6. PaR"IeS through the points (-4,-3)' (-2,1), and (-:3,-6). (Use analytic geomet.ry) 7. Radius is 2 and passing through the points (1,2) and (:1,4). 8. The circle x 2 + y2 + 4x -- 6y k passes through the point (-1,-1). Find the value of k, the radius, and the center of the circle. 9. For what values of rand .9 will x 2 + y2 + 'rx + sy 25 0 be the equation of a circle having center at. (3A)? Fiud the radius of this cirde. 10. Determine the value(s) of kso that the graph of 2 k 2 4k 110 + y + 2:z:: - 4y = - - - 2 - 足 is a circle, a point, or an empty set.