AnswersEAP-Geometry B CREquation of a Circle

Equation of a Circle — Unit test Answers

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Which equation represents the circle described?The radius is 2 units. The center is the same as the center of a circle whose equation is x2 + y2 – 8x – 6y + 24 = 0.

A
(x + 4)2 + (y + 3)2 = 2
B
(x – 4)2 + (y – 3)2 = 2
C
(x – 4)2 + (y – 3)2 = 2²
D
(x + 4)2 + (y + 3)2 = 2²
22
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Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.

A
The radius of the circle is 3 units.
B
The center of the circle lies on the x-axis.
C
The center of the circle lies on the y-axis.
D
The standard form of the equation is (x – 1)² + y² = 3.
E
The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
23

Which is true regarding secants and chords?

A
Chords intersect the perimeter of a circle at two points. Secants intersect the perimeter of a circle once.
B
Chords intersect the perimeter of a circle at one point. Secants intersect the perimeter of a circle twice.
C
Chords and secants intersect the perimeter of a circle twice. Chords are segments entirely within a circle, while secants are lines or rays that extend through a circle.
D
Chords and secants intersect the perimeter of a circle twice. Chords are lines or rays that extend through a circle, while secants are segments entirely within a circle.
24

Which circle has a radius that measures 10 units?

A
Circle D is shown. A line segment goes from one point to another point on the circle and has a length of 10.
Option A
B
Circle F is shown. A line segment goes from one point to another point on the circle and goes through point F. It has a length of 20.
Option B
C
Circle G is shown. A line segment goes from one point to another point on the circle and goes through point G. It has a length of 10.
Option C
D
Circle H is shown. A line segment goes from one point to another point on the circle and has a length of 20.
Option D
25

A circle is shown. Secants D E and A E intersect at point E outside of the circle. Secant D E intersects the circle at point C and secant A E intersects the circle at point B. The length of D C is 1, the length of C E is x + 4, the length of A B is 11, and the length of B E is x + 1.

Question illustration
A
2
B
3
C
6
D
7

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