2.2 A 1
1.
Sketch the graph of the circle.
(x + 6)2 + (y โ 4)2 = 4
Submission Data
circle: (x+6)^2+(y-4)^2=4
2.
Sketch the graph of the semicircle.
y = โ
9 โ x
2
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Homework 2 Solutions for Precalculus | MATH 1113, Study notes of Pre-Calculus
HW 2.2A Material Type: Notes; Class: Precalculus; Subject: Mathematics; University: University of Georgia; Term: Spring 2016;
Typology: Study notes
2015/2016
1 / 7
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2.2 A 1
1. Sketch the graph of the circle. ( x + 6)^2 + ( y โ 4)^2 = 4 Submission Data circle: (x+6)^2+(y-4)^2= 2. Sketch the graph of the semicircle. y = โ 9 โ x 2 Practice Another Version Practice Another Version
2.2 A 2
3. Find an equation for the circle.
4. Determine whether the point P is inside, outside, or on the circle with center C and radius r. (a) P (5, 3), C (7, 6), r = 4 inside the circle outside the circle on the circle (b) P (9, 3), C (6, โ1), r = 5 inside the circle outside the circle on the circle (c) P (1, 8), C (6, 4), r = 6 Practice Another Version
2.2 A 4
A circle is inscribed in a square as shown below. Find the center and radius of the circle. (The sides of the square are parallel to the coordinate axes, as shown.)
center ( 6.5 , 8.5 )
radius 3.
WatchIt 8. Find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.) Center C (1, โ1), radius 1
9. Find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.) Center C (โ3, 2), tangent to the y -axis
10. What is the (standard) equation of the circle with center (5, -2), tangent to the y-axis?
11. Practice Another Version Practice Another Version Practice Another Version Practice Another Version
2.2 A 5
Find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.) Tangent to both axes, center in the fourth quadrant, radius 1
12. A circle has center (3, 4) and radius 3. Find all values of y such that (1, y) is a point on the circle. If there are two answers, enter the SMALLER answer in the first box and the LARGER answer in the second box. Enter NONE in unused (last) answer boxes. IMPORTANT: Provide exact expressions, not decimal approximations. (smaller) (larger) 13. Find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.) Endpoints of a diameter A (2, โ9) and B (โ4, 7)
14. Find the center and radius of the circle with the given equation. x^2 + y^2 โ 8 x + 10 y โ 23 = 0
center ( x , y ) = 4,โ
radius r =
15. Find the center and radius of the circle with the given equation. Practice Another Version Practice Another Version Practice Another Version Practice Another Version
2.2 A 7
7 x + 6 โฅ 0
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