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# Twelfth Grade (Grade 12) Two Dimensional Shapes Questions

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Grade 12 Circles CCSS: HSG-GPE.A.1
What is the equation for a circle with center $(2,5)$ and radius of 5?
1. $(x+2)^2+(y+5)^2=25$
2. $(x-2)^2+(y-5)^2=5$
3. $(x+2)^2+(y+5)^2=5$
4. $(x-2)^2+(y-5)^2=25$
Grade 12 Circles CCSS: HSG-GPE.A.1
What is the equation for a circle with center $(2,-2)$ and radius of 2?
1. $(x-2)^2+(y+2)^2=4$
2. $(x-2)^2+(y+2)^2=2$
3. $(x+2)^2+(y-2)^2=2$
4. $(x+2)^2+(y-2)^2=4$
What is the equation for a circle with center $(-4,6)$ and radius of 6?
1. $(x+4)^2+(y-6)^2=12$
2. $(x-4)^2+(y+6)^2=36$
3. $(x+4)^2+(y+6)^2=12$
4. $(x+4)^2+(y-6)^2=36$
Grade 12 Circles CCSS: HSG-GPE.A.1
What is the equation of a circle with a center of (0, 0) and a radius of 5?
1. $x^2-y^2=25$
2. $x^2+y^2=25$
3. $x^2+y^2=5$
4. $x^2-y^2=5$
Grade 12 Circles CCSS: HSG-GPE.A.1
What is the equation for a circle with center $(1,-4)$ and the outer point of the radius at $(-3,-5)$?
1. $(x-1)^2+(y+4)^2=15$
2. $(x+1)^2+(y-4)^2=15$
3. $(x-1)^2+(y+4)^2=17$
4. $(x-1)^2+(y+4)^2=289$
Grade 12 Circles CCSS: HSG-GPE.A.1
What is the equation for a circle with center $(-2,-2)$ and the outer point of the radius at $(7,10)$?
1. $(x-2)^2+(y-2)^2=100$
2. $(x+2)^2+(y+2)^2=225$
3. $(x-2)^2+(y-2)^2=289$
4. $(x+2)^2+(y+2)^2=149$
Find the center and radius of: $(x-2/3)^2+(y+1/2)^2=9/4.$
1. Center $(-2/3, -1/2), \$ Radius of $3/2$
2. Center $(2/3, -1/2), \$ Radius of $3/2$
3. Center $(2/3, -1/2), \$ Radius of $9/4$
4. Center $(-2/3, 1/2), \$ Radius of $9/4$
$(x-1)^2+(y+2)^2=12$
1. Center (-1,2); Radius of $2sqrt3$
2. Center (1,-2); Radius of $2sqrt3$