Equation of a Circle

Equations of a Circle

Math Response

Write the equation of the circle with its center at (2, -3) and a radius of 5.

Write it in the form $$\left(x-h\right)^2+\left(y-k\right)^2=r^2$$

Make sure to square the radius before you type your answer!

Type answer here

Correct Answer: \left(x-2\right)^2+\left(y+3\right)^2=25

Deg^°

Rad

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Math Response

Find the radius of the circle with a center at (8, 4) and a point on the circle at (5, 8).

Hint: (Distance Formula or Pythagorean Theorem)

Type answer here

Correct Answer: 5

Deg^°

Rad

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Multiple Choice

$$\left(x+5\right)^2+\left(y-10\right)^2=169$$

Using the equation above, what is the center of the circle?

• (-5, 10)

• (5, -10)

• (5, 10)

• (-5, -10)

Math Response

$$\left(x+5\right)^2+\left(x-10\right)^2=169$$

Using the equation above, what is the radius?

Type answer here

Correct Answer: 13

Deg^°

Rad

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Multiple Choice

Which graph shows the image of the equation $$\left(x-2\right)^2+\left(y+5\right)^2=4$$

Multiple Choice

Using the graph, determine the center of the circle.

• (6, -3)

• (7, -3)

• (5, -4)

• (6, -)

Math Response

What is the radius of this circle?

Type answer here

Correct Answer: 4

Deg^°

Rad

Finished

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