Module 1 - Pretest

What is a circle?

• It is a set of all points equidistant from a fixed point called center.

• It is formed when the cone is cut horizontally.

• It consists of the following: radius, chord, secant and diameter.

• All of the above.

Which of the following is the standard equation of a circle?

• $\left(x-h\right)^2+\left(y-k\right)^2=r^2$

• $\left(x+h\right)^2+\left(y+k\right)^2=r^2$

• $\left(x-h\right)^2-\left(y-k\right)^2=r^2$

• $\left(x+h\right)^2-\left(y+k\right)^2=r^2$

Which of the following is an example of equation of a circle?

• $x^2+y=10$

• $x^2+\left(y+2\right)^2=10$

• $x^2-y^2=10$

• $x^2-\left(y-2\right)^2=10$

In figure 1.1, determine the radius and the center of the circle A?

• $center\ at\ \left(6,-5\right),\ radius\ is\ 7$

• $center\ at\ \left(6,-5\right),\ radius\ is\ 14$

• $center\ at\ \left(-5,6\right),\ radius\ is\ 7$

• $center\ at\ \left(-5,6\right),\ radius\ is\ 14$

In figure 1.1, determine the radius and the center of the circle B?

•  $center\ at\ \left(0,0\right),\ radius\ is\ 36$ 

•  $center\ at\ \left(0,0\right),\ radius\ is\ 12$ 

•  $center\ at\ \left(0,0\right),\ radius\ is\ 6$ 

•  $center\ at\ \left(0,0\right),\ radius\ is\ 5$ 

In figure 1.1, what is the equation of the circle A?

• $\left(x-6\right)^2+\left(y+5\right)^2=7$

• $\left(x-6\right)^2+\left(y+5\right)^2=49$

• $\left(x+5\right)^2+\left(y-6\right)^2=7$

• $\left(x+5\right)^2+\left(y-6\right)^2=49$

In figure 1.1, what is the equation of the circle B?

• $x^2+y^2=36$

• $x^2+y^2=12$

• $x^2+y^2=6$

• $x^2+y^2=5$

What is the graph of the circle

 $\left(x-2\right)^2+\left(y+3\right)^2=16$  ?

• 
• 
• 
• 

What is the radius of the circle

 $\left(x-2\right)^2+\left(y+3\right)^2=16$  ?

• 4

• 8

• 16

• 32

What is the center of the circle

 $\left(x-2\right)^2+\left(y+3\right)^2=16$  ?

•  $\left(2,3\right)$ 
  

•  $\left(-2,3\right)$  
  

•  $\left(-2,-3\right)$ 
  

•  $\left(2,-3\right)$