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# Circles Questions - All Grades

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What is the center and radius of the circle given by the following equation?
$x^2 + y^2 - 18x + 6y + 65 = 0$
1. $"Center": (18, -6), \ "Radius": 65$
2. $"Center": (9,-3), \ "Radius": 5$
3. $"Center": (0,0), \ "Radius": sqrt(65)$
4. $"Center": (-9,3), \ "Radius": 25$
What is the center and radius of the circle given by the following equation?
$x^2 + y^2 -2x +10y + 22 = 0$
1. $"Center": (0, 0), \ "radius": sqrt(22)$
2. $"Center": (-2, 10), \ "radius": sqrt(22)$
3. $"Center": (1,-5), \ "radius": 2$
4. $"Center":(1,-5), \ "radius": 4$
If the points (1, 2) and (-5, 2) are endpoints of a diameter of a given circle, what is the equation of this circle?
1. $(x-1)^2 + (y-2)^2 = 1$
2. $(x+5)^2 + (y-2)^2 = 9$
3. $(x+2)^2 + (y-2)^2 = 9$
4. $(x+3)^2 + y(-1)^2 = 3$
How many degrees are in a circle?
1. 360 degrees
2. 180 degrees
3. 90 degrees
4. 45 degrees
Find the area of a circle where r = 7 m. Use pi = 3.14.
1. $153.86m^2$
2. $43.96m^2$
3. $13.28m^2$
4. $153m^2$
The distance around a circle
1. Circle
2. Circumference
3. Complementary
4. Coefficient
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. $x^2-y^2=5$
What is this measurement called?
1. Area
2. Circumference
3. Diameter
A formula to find the area of the shape below is:
1. $2πr$
2. $πr^2$
3. $0.5 xx π$
4. $(πr^2)/2$
Look at the circle below. The line segment appears to be
1. an arc
2. a perimeter
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 $9/4$