Quiz about Deriving and Using the Equation of a Circle

Question 1

Which is the correct equation of a circle whose centered at (-1, -5) and has a radius of 5?

Accepted Answer

(x + 1)² + (y + 5)² = 25

Answer

(x + 1)² + (y - 5)² = 25

Answer

(x - 1)² + (y - 5)² = 25

Answer

(x - 1)² + (y + 5)² = 25

Question 2

Select the matching graph.

Accepted Answer

D) Graph 4

Answer

A) Graph 1

Answer

B) Graph 2

Answer

C) Graph 3

Question 3

Which of the following is the correct equation of a circle with center at (-3, 5) and radius 7?

Accepted Answer

$$(x + 3)^2 + (y - 5)^2 = 49$$

Answer

$$(x - 3)^2 + (y + 5)^2 = 49$$

Answer

$$(x + 3)^2 + (y - 5)^2 = 7$$

Answer

$$(x - 3)^2 + (y + 5)^2 = 7$$

Question 4

The equation of a circle is derived from

Accepted Answer

distance formula

Answer

gradient-intercept forumla

Answer

point-slop form

Answer

quadratic equation

Question 5

Write the equation of the circle.

Accepted Answer

$$(x+2)^2+(y-2)^2=9$$

Answer

$$(x-2)^2+(y+2)^2=9$$

Answer

$$(x+2)^2+(y-2)^2=3$$

Answer

$$(x-2)^2+(y+2)^2=3$$

Question 6

Which of the following equations represents a circle with a center at (0, 0) and a radius of 10?

Accepted Answer

$$x^2 + y^2 = 100$$

Answer

$$x^2 + y^2 = 10$$

Answer

$$(x - 10)^2 + (y - 10)^2 = 100$$

Answer

$$(x + 10)^2 + (y + 10)^2 = 100$$

Question 7

Determine the Center and Radius of the following equation of a circle. $$x^2+y^2+18x-32y+336=0$$

Accepted Answer

Center: (-9,16)
Radius: 1

Answer

Center: (9, -16)
Radius: 1

Answer

Center: ( 18, -32)
Radius: 1

Answer

Center: (-18, 32)
Radius: 2

Question 8

In the equation (x - 3)²+ (y + 4)²= 121, the radius of the circle is

Accepted Answer

11

Answer

242

Answer

121

Answer

22

Question 9

In the equation (x-3)²+(y+4)²=121, the center of the circle is at...

Accepted Answer

(3, -4)

Answer

(-3, 4)

Answer

(4, 3)

Answer

(-4, -3)

Deriving and Using the Equation of a Circle

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