Circle Equation Practice

Marina and Adler are planning to draw a circular garden. The equation of the garden's boundary is given by (x + 6)² + (y - 4)² = 16. Select the center of the garden.

• (6, -4)

• (-6, 4)

• (4, -4)

• (4,-6)

Sameesh and Odin are planning to meet at a dog park. The equation (x-3)²+(y-2)²=16 represents the boundary of a circular fountain in the park. The center of the fountain is...

• (3,2)

• (-3, -2)

• (-2, -3)

• (2, 3)

Aaron and Sofia are planning to build a circular fire pit. They decide that the equation representing the boundary of the fire pit will be (x+2)²+(y-3)²=4. What is the radius of the fire pit?

• 4

• 2

• 3

• 16

Sadie is designing a circular garden with a radius of 4 meters, and the center of the garden is located at the point (0, 8) on a coordinate grid. What is the equation of the circle representing the boundary of the garden?

• x² + (y-8)² = 16

• (x-8)² + y² = 4

• x² + (y-8)² = 4

• x² + (y+8)² = 16

Ansley is designing a circular table with a center at point (7, 0) and a radius of 3 meters. What is the equation of the circle representing the boundary of the table?

• (x - 7)² + y² = 9

• x² + (y -7)² = 9

• (x - 7)² + y² = 3

• x² + (y -7)² = 3

Max and Dekker are designing a circular pool for their backyard. They have the equation of the pool's boundary as:
x² + y² + 4x + 6y - 36 = 0. Determine the equation of the circle in standard form.

• (x+2)² + (y+3)² = 49

• (x+2)² + (y+3)² = 13

• (x-2)² + (y-3)² = 49

• (x-2)² + (y-3)² = 13

Ethan and Mei Li are designing a circular koi pond for the roundabout at Roswell High. They have the equation of the circle that represents the boundary of the pond:

x ² + 4x + y ² - 8y = 5.

Help them find the center of the pond.

Willie T. and Platon are making a pizza. They have the equation of the pizza's boundary as x² + y² + 6x - 12y + 20 = 0. Determine the equation of the circle in standard form.

• (x-3)² + (y+6)² = 25

• (x+3)² + (y-6)² = 25

• (x-3)² + (y+6)² = 45

• (x+3)² + (y-6)² = 5

• 7

• 49

• Can't be determined

What is the correct graph for the equation x² + y² = 4?

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• The correct answer is not provided.