Write the standard form of the equation of the circle with the given center and radius. Center (0,0), r = 12

Write the standard form of the equation of the circle with the given center and radius.
Center (0,0), r = 12
The equation for the circle in standard form is .
(Simplify your answer.)
Write the standard form of the equation of the circle with the given center and radius.
Center , r(8, − 6) = 10
Type the standard form of the equation of the circle.
(Simplify your answer.)
Write the standard form of the equation of the circle with the given center and radius.
Center ( , ), r− 4 3 = 7
The equation of the circle in standard form is .
(Simplify your answer.)
In the graph on the right, a line segment through the center
of the circle intersects the circle at the points ( , ) and ( ,
) as shown.
6 1 10
7
a. Find the coordinates of the circle’s center.
b. Find the radius of the circle.
c. Use your answers from parts (a) and (b) to write the
standard form of the circle’s equation. -1 17
-3
11
x
y
The center is . (Type an ordered pair.)
The radius is .
(Simplify your answer. Type an exact answer, using radicals as needed.)
The equation for the circle in standard form is .
(Simplify your answer.)

8/7/22, 2:58 PM Section 1.7 Homework-Angie Lopez
https://xlitemprod.pearsoncmg.com/api/v1/print/highered 2/7
5.
6.
Give the center and radius of the circle described by the
equation and graph the equation. Use the graph to identify
the relation’s domain and range.
x + y = 49
2 2
Use the graphing tool to graph the equation.
What is the domain?
The domain is .
(Type your answer in interval notation.)
What is the range?
The range is .
(Type your answer in interval notation.)
-12 -10 -8 -6 -4 -2 2 4 6 8 10 12
-12
-10
-8
-6
-4
-2
2
4
6
8
10
12
x
y
Give the center and radius of the circle described by the
equation and graph the equation. Use the graph to identify
the relation’s domain and range.
(x − 2) + (y − 1) = 25
2 2
Use the graphing tool to graph the circle.
Use the graph to identify the domain.
The domain is .
(Type your answer in interval notation.)
Use the graph to identify the range.
The range is .
(Type your answer in interval notation.)
-10 -8 -6 -4 -2 2 4 6 8 10
-10
-8
-6
-4
-2
2
4
6
8
10
x
y

8/7/22, 2:58 PM Section 1.7 Homework-Angie Lopez
https://xlitemprod.pearsoncmg.com/api/v1/print/highered 3/7
7.
8.
Give the center and radius of the circle described by the
equation and graph the equation. Use the graph to identify
the domain and range.
(x + 3) + (y − 4) = 9
2 2
The center is .
(Type an ordered pair. Simplify your answer.)
The radius is .
(Type an integer or a simplified fraction.)
Graph the circle.
Express the domain of the relation in interval notation.
Express the range of the relation in interval notation.
-15 -12 -9 -6 -3 3 6 9 12 15
-15
-12
-9
-6
-3
3
6
9
12
15
x
y
Give the center and radius of the circle described by the
equation and graph the equation. Use the graph to identify
the domain and range.
(x + 5) + (y + 6) = 25
2 2
The center is .
(Type an ordered pair. Simplify your answer.)
The radius is .
(Type an integer or a simplified fraction.)
Graph the circle.
Express the domain of the relation in interval notation.
Express the range of the relation in interval notation.
-15 -12 -9 -6 -3 3 6 9 12 15
-15
-12
-9
-6
-3
3
6
9
12
15
x
y

8/7/22, 2:58 PM Section 1.7 Homework-Angie Lopez
https://xlitemprod.pearsoncmg.com/api/v1/print/highered 4/7
9.
10.
Give the center and radius of the circle described by the
equation and graph the equation. Use the graph to identify
the relation’s domain and range.
x + (y − 3) = 25
2 2
Use the graphing tool to graph the circle.
What is the domain?
The domain is .
(Type your answer in interval notation.)
What is the range?
The range is .
(Type your answer in interval notation.)
-10 -8 -6 -4 -2 2 4 6 8 10
-10
-8
-6
-4
-2
2
4
6
8
10
x
y
Give the center and radius of the circle described by the
equation and graph the equation. Use the graph to identify
the domain and range.
(x + 4) + y = 25
2 2
The center is .
(Type an ordered pair. Simplify your answer.)
The radius is .
(Type an integer or a simplified fraction.)
Graph the circle.
Express the domain of the relation in interval notation.
Express the range of the relation in interval notation.
-15 -12 -9 -6 -3 3 6 9 12 15
-15
-12
-9
-6
-3
3
6
9
12
15
x
y

8/7/22, 2:58 PM Section 1.7 Homework-Angie Lopez
https://xlitemprod.pearsoncmg.com/api/v1/print/highered 5/7
11.
12.
Use a graphing utility to graph the circle whose equation is
given.
x + y = 144
2 2
Which pair of equations should you graph?
A. ,y = 12 − x y = − 12 − x
B. ,y = 144 − x2 y = 144 + x2
C. ,y = 12 − x2 y = − 12 − x2
D. ,y = 144 − x2 y = − 144 − x2
Use the graphing tool to graph the circle.
-12 -10 -8 -6 -4 -2 2 4 6 8 10 12
-12
-10
-8
-6
-4
-2
2
4
6
8
10
12
x
y
Complete the square and write the equation of the circle in
standard form. Then determine the center and radius of the
circle to graph the equation.
x + y + 4x + 10y + 28 = 0
2 2
The equation in standard form is .
(Simplify your answer.)
Use the graphing tool to graph the circle.
-10 -8 -6 -4 -2 2 4 6 8 10
-10
-8
-6
-4
-2
2
4
6
8
10
x
y

8/7/22, 2:58 PM Section 1.7 Homework-Angie Lopez
https://xlitemprod.pearsoncmg.com/api/v1/print/highered 6/7
13.
14.
Complete the square and write the equation in standard
form. Then find the center and radius of the circle and
graph the equation.
x + y + 8x − 8y − 17 = 0
2 2
The equation of the circle in standard form is
.
(Simplify your answer.)
Use the graphing tool to graph the circle. -12 -8 -4 4 8 12
-12
-8
-4
4
8
12
Complete the square and write the equation of the circle in
standard form. Then find the center and radius of the circle
and graph the equation.
x + y − x + 2y + 1 = 0
2 2
The equation in standard form is .
(Simplify your answer. Type an equation.)
The center is .
(Type an ordered pair. Simplify your answer.)
The radius is . (Simplify your answer.)
Use the graphing tool to graph the circle.
-6 -4 -2 2 4 6
-6
-4
-2
2
4
6
x
y

8/7/22, 2:58 PM Section 1.7 Homework-Angie Lopez
https://xlitemprod.pearsoncmg.com/api/v1/print/highered 7/7
15. Use a graphing utility to graph the circle whose equation is
given.
x + 4x + y − 2y − 31 = 0
2 2
Use the graphing tool to graph the circle