Unit 5 Circles Review

Write the equation of a circle with center (3, -2) and radius 5.

• $\left(x-3\right)^2+\left(y+2\right)^2=5$

• $\left(x-3\right)^2+\left(y+2\right)^2=25$

• $\left(x+3\right)^2+\left(y-2\right)^2=5$

• $\left(x+3\right)^2+\left(y-2\right)^2=25$

Tags

CCSS.HSG.GPE.A.1

Graph the circle with the following equation: $\left(x+1\right)^2+\left(y+3\right)^2=9$  

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Tags

CCSS.HSG.GPE.A.1

Find the center and radius of the circle having the following equation:  $\left(x-10\right)^2+y^2=42$  

• Center: (-10, 0) Radius: 21

• Center: (10, 0) Radius:  $\sqrt{42}$  

• Center: (10, 0) Radius: 21

• Center: (-10, 0) Radius:  $\sqrt{42}$  

• Center: (10, 0) Radius: 42

Tags

CCSS.HSG.GPE.A.1

A circle is tangent to the y-axis and center lies on the x-axis at x=2. Which of the following is the equation of the circle?

• $\left(x+2\right)^2+y^2=4$

• $\left(x-2\right)^2+y^2=2$

• $\left(x-2\right)^2+y^2=4$

• $\left(x+2\right)^2+y^2=2$

Tags

CCSS.HSG.GPE.A.1

• $75\degree$

• $55\degree$

• $27.5\degree$

• $25\degree$

Tags

CCSS.HSG.C.A.2

Find the value of x.

• $76\degree$

• $152\degree$

• $26\degree$

• $50\degree$

Tags

CCSS.HSG.C.A.2

Find the value of x.

• 6

• 20

• 8

• 5

Tags

CCSS.HSG.C.A.2

Find the radius of the circle.

• 12

• 13.5

• 13.4

• 11

Tags

CCSS.HSG.C.A.2

The chord and radius are perpendicular. Find the radius of the circle.

• 5

• 625

• 25

• 48.5

Tags

CCSS.HSG.C.A.2

Assume the segments that appear to be tangent are tangent. The perimeter of the triangle is 62 in. Find the value of x.

• 16

• 8

• 10

• 12

Tags

CCSS.HSG.C.A.2