Circle Equation (Review) Ms. Sanchez 2020

What is the center and radius of the circle  $\left(x+4\right)^2+\left(y+6\right)^2=64\ ?$  

•  $center\ \left(-4,-6\right),\ radius=64$  

•  $center\ \left(-4,-6\right),\ radius=8$  

•  $center\ \left(4,6\right),\ radius=8$  

•  $center\ (4,6),\ radius=64$  
  

What is the equation of the circle graphed below?

• $\left(x-5\right)^2+y^2=3$

• $x^2+\left(y+5\right)^2=3$

• $\left(x+5\right)^2+y^2=9$

• $x^2+\left(y-5\right)^2=9$

Which graph represents the circle  $\left(x+2\right)^2+\left(y-3\right)^2=25\ ?$  

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A circle has its center at (−2, 3) and point (4, 6) is on its circumference. What is the correct written equation of the circle?

• $(𝑥+3)^2+(𝑦−2)^2=85$

• $(𝑥−3)^2+(𝑦+2)^2=45$

• $(𝑥−2)^2+(𝑦+3)^2=85$

• $(𝑥+2)^2+(𝑦−3)^2=45$

In the xy-coordinate plane shown, points B, E, G, and I are on the circle with center H.

What is the equation of the circle with center H?

•  $(𝑥−4)^2+(𝑦−2)^2=\sqrt{10}$  

•  $\ (𝑥−4)^2+(𝑦−2)^2=10$  

•  $(𝑥+4)^2+(𝑦+2)^2=\sqrt{10}$  

•  $(𝑥+4)^2+(𝑦+2)^2=10$  

A circle is graphed on this coordinate plane.

Which of the following equations represents the circle?

• $(𝑥+3)^2+(𝑦−5)^2=4$

• $(𝑥+3)^2+(𝑦−5)^2=8$

• $(𝑥−3)^2+(𝑦+5)^2=16$

• $(𝑥−3)^2+(𝑦+5)^2=64$

6. The equation       $(𝑥−1)^2+(𝑦−3)^2=𝑟^2$      represents circle 𝐴. The point 𝐵(4, 7) lies on the circle. What is 𝑟, the length of the radius of circle 𝐴?

•  $\sqrt{13}$  

•  $5$  

•  $5\sqrt{5}$  

•  $\sqrt{137}$  

Which is the equation of a circle that passes through (2, 2) and is centered at (5, 6)?

• $(𝑥−6)^2+(𝑦−5)^2=25$

• $(𝑥-5)^2+(𝑦-6)^2=5$

• $(𝑥+5)^2+(𝑦+6)^2=25$

• $(𝑥-5)^2+(𝑦-6)^2=25$

Which is the equation of a circle that has a diameter with endpoints (1, 3) and (−3, 1)?

• $(𝑥+1)^2+(𝑦−2)^2=10$

• $(𝑥+1)^2+(𝑦−2)^2=20$

• $(𝑥+1)^2+(𝑦−2)^2=5$

• $(𝑥+1)^2+(𝑦−2)^2=5$

 $Given:Circle𝑊\$  

 $𝑊(−4,6)𝑅𝑎𝑑𝑖𝑢𝑠=10𝑢𝑛𝑖𝑡s$  

Which point lies on circle 𝑊?

•  $𝐴(0,4)$  

•  $𝐵(2,10)$  

•  $𝐶(4,0)$  

•  $𝐷(6,16)$