Geometry Radius

The _____________ of a circle is two times the radius. 

• chord

• diameter

• circumference 

Circles with exactly the same radius measures

• Similar Circles

• Concentric Circles

• Congruent Circles

• Semicircle

To inscribe a hexagon inside a circle, which length should you set your compass to?

• The radius

• The diameter

• Half of the radius

• It depends on the size of the circle

To inscribe a square inside a circle, first you must draw a diameter anywhere across the circle. What should your next step be?

• Construct a perpendicular bisector

• Draw a second diameter to the circle

• Construct a line tangent to the circle

• Set your compass the length of the radius.

Eric was attempting to construct a perpendicular bisector to the segment AB with a compass and straight edge. Which of the below statements explains what Eric may have done wrong?

• Eric should have started by putting the compass needle point at the midpoint of the segment AB.

• On the second step, Eric should have placed the compass needle point where the first arc intersected the segment AB.

• Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB.

• Erick didn’t do anything wrong he just needs to connect the opposite endpoints of each arc to finish the construction.

What kind of construction is displayed in this picture?

• A circle inscribed in a hexagon

• A hexagon inscribed in a circle

• A hexagon

• A circle

Nate is constructing angle bisector to angle ABC.  Where did he position his compass to create the two arcs that intersect at the interior of the angle?

• He fixed his compass on B and drew both arcs.

• He fixed his compass on points A and C.

• He fixed his compass on points D and E.

• He fixed his compass on points B and E.

Write the equation of a circle with center (h,k) and radius r.

• x^2 + y^2  = r^2

• (x + h)^2 +  (y + h)^2 = r^2

• (x - h)^2 + (y - k)^2 = r^2

• (x - h)^2 - (h - k)^2 = r

Write the equation of a circle with center (7, 0) with radius 3. 

• (x - ^7)^2 + y^2 = 9

• x^2 + (y -7)^2 = 9

• (x - 7)^2 + y^2 = 3

• x^2 + (y -7)^2 = 3

The point (-5,6) is on a circle with center (-1,3) write the equation of the circle

• (x+1)² + (y-3)²= 4000

• (x+5)² + (y-0)²= 25

• (x+1)² + (y-3)²= 25

• (x-1)² + (y+3)²= 25