Circle and other Geometric Figures on the Coordinate Plane

1. Given an equation of a circle, what is the first step to sketch its graph?

• Locate the center on the coordinate plane.

• Connect points to draw the circle. 

• Determine the center and radius.

• None of these

Tags

CCSS.HSG.GPE.A.1

2. What is the center of the circle whose equation is (x+3)²+(y+2)²=9?

• (-3, 2)

• (3, -2)

• (3, 2)

• (-3,-2)

Tags

CCSS.HSG.GPE.A.1

3. What is the length of the radius of a circle given the equation x²+y²=48?

• 48

• 2√12

• 4√3

• 3√4

Tags

CCSS.HSG.GPE.A.1

4. Which of the following equations represent the smallest circle?

• x²+y²=49

• x²+y²=36

• x²+y²=25

• x²+y²=16

Tags

CCSS.HSG.GPE.A.1

5. Which of the following is the graph of a circle represented by (x+1)²+(y+3)²=4?

• 
• 
• 
• 

Tags

CCSS.HSG.GPE.A.1

6. Given the figure, find the equation of the circle in standard form.

• (x-1)²+(y-3)²=4

• (x+1)²+(y+3)²=4

• (x-1)²+(y+3)²=4

• (x+1)²+(y-3)²=4

Tags

CCSS.HSG.GPE.A.1

7. Which of the circles has a center located at the first quadrant of the coordinate plane? 

• (x+3)²+(y-2)²=4

• x²+(y-4)²=4

• (x-3)²+(y-1)²=9

• (x+5)²+(y+3)²=1

Tags

CCSS.HSG.GPE.A.1

8. Which of the circles has a center located at the x-axis?

• (x+3)²+(y-2)²=4

• x²+(y-4)²=4

• (x-3)²+(y-1)²=9

• (x+5)²+y²=1

Tags

CCSS.HSG.GPE.A.1

9. The tower of a particular network is designed to service 12 km in radius. The tower is located at (3,-5) on a coordinate plane. What is the standard equation of the outer boundary of the region serviced by the tower?

• (x+3)²+(y+5)²=144

• (x-3)²+(y-5)²=144

• (x-3)²+(y+5)²=144

• (x+3)²+(y-5)²=144

Tags

CCSS.HSG.GPE.A.1

10. The tower of a particular network is designed to service 12 km in radius. The tower is located at (3,-5) on a coordinate plane. Which of the following is the graph of the circle?

• 
• 
• 
• 

Tags

CCSS.HSG.GPE.A.1