Equation of a Circle

What is the center of the circle

 $x^2+y^2-4x+10y+13=0?$  

• (2,5)

• (-2, 5)

• (2, -5)

• (-2,-5)

Which of the following equations is the standard form of the circle

 $x^2+y^2-4x+10y+13=0?$  

•  $(x-2)^2+(y+5)^2=16$  

•  $(x-2)^2+(y-5)^2=16$  

•  $(x-5)^2+(y-2)^2=42$  

•  $(x+5)^2+(y+2)^2=42$  

What is the center and radius of the circle

 $x^2+y^2=9?$  

• (0,0); 3

• (0,3); 3

• (3,0); 3

• (3,3), 1

Transform into the general equation of a circle

• $x^2+y^2-4x-8y+16=0$

• $x^2+y^2+4x-16y-16=0$

• $x^2+y^2-4x-16y+16=0$

• $x^2+y^2-4x-8y-16=0$

Solve the area of the circle given the general form:

 $x^2+y^2-2x-8y-44=0$  

•  $49πu^2$  

•  $64πu^2$  

•  $81πu^2$  

•  $100πu^2$  

A radio signal can transmit message up to 5 km. If the radio signal’s origin is located at a point whose coordinates are (-2, 7). What is the equation of the circle that defines the boundary up to which the messages can be transmitted?

•  $(x-2)^2+(y+7)^2=25$  

•  $(x+2)^2+(y-7)^2=5$  

•  $(x+2)^2+(y-7)^2=25$  

•  $(x-2)^2+(y+7)^2=5$  

Identify the center of the circle 1.   

 $x^2+y^2-4x+6y-36=0?$  

• (9, -3)

• (3, -2)

• (2, -3)

• (2, -10)

Transform  into the general equation of a circle.

 $(x+2)^2+y^2=100$  

•  $x^2+y^2=10$  

•  $x^2+y^2+4x-96=0$  

•  $x^2+y^2-4y-96=0$  

•  $x^2+y^2-4y+96=0$  

1.      Which of the following equation/s will represent a circular function?         

 $I.\ (x-2)^2+(y-3)^2=9$  
 $II.\ (x-4)^2-(y+1)^2=25$  
 $III.\ x^2-y^2+4x-7y-12=0$  
 $IV.\ x^2+y^2-4x+5y-20=0$  

• I and III

• II and IV

• I only

• I and IV

 $x^2+y^2+4x-4y-28=0$  

Solve the quarter area of the circle that will be formed by the general equation: 

•  $9πu^2$  

•  $10πu^2$  

•  $11πu^2$  

•  $12πu^2$