All the questions circled please and thank you.

Finding the Standard Equation of a Circle In Exercises 7-12, find the standard form of the equation of the circle with the given characteristics. 29. x2 + 4x + 12 + 4y - 1=0 (7. Center at origin; radius: 4 (30. )x2 - 6x + y2 + 6y+ 14 = 0 (8. )Center at origin; radius: 4 2 31. x2 - 14x + 12 + 8y + 40=0 32. x2 + 6x + y2 - 12y + 41 = 0 Center: (3, 7); point on circle: (1, 0) XorIsV .E8 33. x2 + 2x + y2 - 35 = 0 34. x2 + 12 + 10y + 9=0 10/ Center: (6, -3); point on circle: (-2, 4) 11. Center: (-3, - 1); diameter: 2 7 Finding the Intercepts of a Circle In Exercises 35-40, 12. Center: (5, -6); diameter: 4 3 find the x- and y-intercepts of the graph of the circle. 6 :(4,0) : xanaV .V8 35. ( x - 2)2 + ( + 3) 2 = 9 Identifying the Center and Radius of a Circle In 36. (x + 5)2 + (y - 4)2 = 25 Exercises 13-18, identify the center and radius of the 37. x2 - 2x+ 12 - 6y - 27 =0 circle. 38. x2 + 8x + yz + 2y + 9 = 0 13, x2 + 1 2 = 49 (14.) x2 + y2 = 64 39. (x - 6)2 + (y + 3 ) 2 = 16 40. (x + 7)2 + (v - 8)2 = 4 (15) (x + 2)2 + (y - 7)2 = 16g to znoitsups gill 16. ( x + 9 )2 + ( y + 1) 2 = 36 41. Seismology An earthquake was felt up to 52 mile from its epicenter. You were located 40 miles west an 17. (x - 1)2 + y2 = 15 18. x2 + (y + 12)2 = 40 30 miles south of the epicenter. (a) Let the epicenter be at the point (0, 0). Find Writing the Equation of a Circle in Standard Form In standard equation that describes the outer bounda Exercises 19-26, write the equation of the circle in of the earthquake. standard form. Then identify its center and radius. ce (b) Would you have felt the earthquake? 19 - x2 + ? = 1 20. gx2 + gy2 = 1 (c) Verify your answer to part (b) by graphing equation of the outer boundary of the earthq (21 472 3x2 + 4 2 22.)5x2 + 212 =1 onibrit and plotting your location. How far were you (23. x2 + 12 - 2x + 6y +9 = 0 the outer boundary of the earthquake? all is slodging off 24, x2 + y2 - 10x - 6y + 25 = 0 sail sdl 20 42. Landscape Design A landscaper has installed a cir sprinkler that covers an area of 2000 square feet. 25. 4x2 + 4y2 + 12x - 24y + 41 = 0 (a) Find the radius of the region covered by the spri 26. 9x2 + 9y2 + 54x - 36y + 17 = 0 Round your answer to three decimal places. (b) The landscaper increases the area cover Sketching a Circle In Exercises 27-34, sketch the circle. 2500 square feet by increasing the water pre Identify its center and radius. How much longer is the radius? 27 , 12 = 16 . 28. y2 = 81 -x2