Geometry Circle Problem

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IdealAntigorite1982
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5 Questions

What type of angle is formed by the line segment from the center point to the chord XY?

Obtuse angle

What is the length of each part of the chord VW?

20 units

What is the distance from the center point to the chord XY?

15 units

What can be said about the line segment from center point N?

It is perpendicular to chord VW

What is the radius of ⊙Z?

25

Study Notes

Circle with Center Z and Chords VW and XY

  • The circle has center point Z and two chords: VW and XY.
  • A line segment from the center point Z to the chord XY makes an obtuse angle.
  • The distance from the center point Z to the chord XY is 15 units.
  • A second line segment from the center point Z, perpendicular to chord VW, divides the chord VW into two equal parts of 20 units each.

Radius of Circle Z

  • The radius of the circle (⊙Z) is unknown and needs to be found.
  • The possible answers are: 25, 20, 15, or 10 units.

Solve a circle problem involving chords and the radius of the circle. Given the distances and angles, find the radius of the circle.

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