Circles and Length of Secants

Write the standard equation of the circle with the given center and radius; center (0,0) and radius: 3

• x²+y²=3

• x²+y²=6

• x²+y²=9

Tags

CCSS.HSG.GPE.A.1

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

• (x - 2)² + (y + 5)² = 36

• (x - 5)² + (y + 2)² = 6

• (x + 5)² + (y - 2)² = 36

• (x + 2)² + (y - 5)² = 6

Tags

CCSS.HSG.GPE.A.1

What is the difference between a tangent line and a secant line?

• A secant intersects the circle twice; a tangent touches the circle once

• A tangent intersects the circle twice; a secant touches the circle once

• A secant goes through the center of the circle; a tangent does not

• A secant is outside the circle; a tangent is inside the circle

What is the formula to use when solving for a segment length of intersecting chords in a circle?

• ab=cd

• a(a+b)=c(c+d)

• a+b=c+d

Tags

CCSS.HSG.C.A.2

Solve for angle "x" in degrees. (Hint: Intersecting Exterior Secants- Finding Arcs and Angles)

• 60

• 55

• 115

• 87

Tags

CCSS.HSG.C.A.2

If 2 segments from the same external point are tangent to a circle, then they are_.

• Supplementary

• Congruent

• Complimentary

Tags

CCSS.HSG.C.A.2

Find the measure of the missing arc in degrees. (Hint: Intersecting Chords)

• 103

• 16

• 71

• 94

Tags

CCSS.HSG.C.A.2

Solve for x. (Hint: Length of Tangent Lines from the Same External Point)

• 42.4

• 52

• 52.3

• 42

Tags

CCSS.HSG.C.A.2

What is the definition of a secant?

• A line segment whose endpoints are on the circle.

• A line that intersects a circle in one point.

• A line that intersects a circle in two points.

• A line segment which intersects the circle at the point of secancy.

What can you conclude from the picture?

• m is parallel to circle C

• m is skew to circle C

• m bisects circle C

• m is tangent to circle C