← Library

Circles: segment relationships and the equation of a circle — Homework

Name
Date

Circles: segment relationships and the equation of a circle — Homework

Identify whether each situation is chord-chord, secant-secant, or tangent-secant before setting up the equation. Watch signs when reading circle equations.

  1. 1.Two chords intersect inside a circle. One chord's segments are 8 and 9; the other's are 6 and x. Find x.
  2. 2.From an external point, one secant has external segment 3 and whole length 15; a second secant has external segment 5. Find its whole length.
  3. 3.From an external point, a tangent segment is 8, and a secant's external segment is 4. Find the secant's whole length.
  4. 4.Write the equation of a circle with center (5, -3) and radius 6.
  5. 5.A circle has equation (x+2)^2 + (y-7)^2 = 81. Identify the center and radius, and explain how you handled the signs.
🌲 Homeschool of the FutureTenth Grade · Math · week 33 homework