Unit 10: Circles Homework 8: Equations of Circles

Use the information given to write the equation of the circle.

• $\left(x-2\right)^2+\left(y-8\right)^2=9$

• $\left(x+2\right)^2+\left(y+8\right)^2=9$

• $\left(x-2\right)^2+\left(y-8\right)^2=3$

• $\left(x-2\right)^2+\left(y+8\right)^2=3$

Use the information given to write the equation of the circle.

• $\left(x-9\right)^2+\left(y-7\right)^2=289$

• $\left(x+9\right)^2+\left(y+7\right)^2=1156$

• $\left(x+9\right)^2+\left(y+7\right)^2=289$

• $\left(x-9\right)^2+\left(y-7\right)^2=1156$

Use the information given to write the equation of the circle.

• $x^2+\left(y-16\right)^2=15$

• $\left(x+0\right)^2+\left(y-16\right)^2=\sqrt{15}$

• $x^2+\left(y+16\right)^2=15$

• $x^2+\left(y+16\right)^2=225$

Use the information given to write the equation for the circle.

• $\left(x-3\right)^2+\left(y+6\right)^2=4$

• $\left(x+3\right)^2+\left(y=6\right)^2=4$

• $\left(x-3\right)^2+\left(y+6\right)^2=2$

• $\left(x+3\right)^2+\left(y-6\right)^2=2$

Tags

CCSS.HSA.CED.A.2

CCSS.HSG.GPE.A.1

Use the information given to write the equation of the circle.

• $\left(x+10\right)^2+\left(y+4\right)^2=200$

• $\left(x+10\right)^2+\left(y+4\right)^2=\sqrt{200}$

• $\left(x-10\right)^2+\left(y-4\right)^2=200$

• $\left(x-10\right)^2+\left(y-4\right)^2=\sqrt{200}$

Use the information given to write the equation of the circle.

• $\left(x+5\right)^2+\left(y-7\right)^2=100$

• $\left(x-5\right)^2+\left(y+7\right)^2=10$

• $\left(x+5\right)^2+\left(y-7\right)^2=10$

• $\left(x-5\right)^2+\left(y+7\right)^2=100$

Tags

CCSS.HSG.GPE.A.1

Use the information given to write the equation of the circle.

• $\left(x+10\right)^2+\left(y+7\right)^2=49$

• $\left(x-10\right)^2+\left(y-7\right)^2=49$

• $\left(x-10\right)^2+\left(y-7\right)^2=7$

• $\left(x+10\right)^2+\left(y+7\right)^2=7$

Use the information given to write to equation for the circle.

• $\left(x-4\right)^2+\left(y-5\right)^2=400$

• $\left(x+4\right)^2+\left(y+5\right)^2=20$

• $\left(x+4\right)^2+\left(y+5\right)^2=400$

• $\left(x-4\right)^2+\left(y-5\right)^2=20$

Given the equation of the circle, identify the center and radius or diameter.

•  $Center:\ \left(9,4\right)\ Radius:\ 6$  

•  $Center:\ \left(9,4\right)\ Radius:\ 36$  

•  $Center:\ \left(-9,-4\right)\ Radius:\ 6$  

•  $Center:\ \left(-9,-4\right)\ Radius:\ 36$  

Given the equation of the circle, identify the center and radius or diameter.

• $Center:\ \left(6,0\right)\ Diameter:\ 19$

• $Center:\ \left(-6,0\right)\ Diameter:\ 9.5$

• $Center:\ \left(6,0\right)\ Diameter:\ 9.5$

• $Center:\ \left(-6,0\right)\ Diameter:\ 19$