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3
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.
An inscribed square is constructed in circle M. What are the measures of the angles and arcs?
W
M
Y
mXY=
mWY=
m XZWX=
o

3 Type the correct answer in each box Use numerals instead of words If necessary use for the fraction bar An inscribed square is constructed in circle M What ar class=

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sqdancefan

Answer:

  • arc XY = 90°
  • arc WY = 180°
  • ∡ZWX = 90°

Step-by-step explanation:

A square has four (4) equal-length sides. When the square is inscribed in a circle, the sides are equal-length chords of the circle. Equal-length chords subtend equal-length arcs, so the inscribed square divides the circle into 4 equal-length arcs. Each one will have a measure of 360°/4 = 90°.

  arc XY = 90°

  arc WY = 180° . . . . the sum of two shorter arcs, half the circle

The internal angles of a square are all 90°, so ...

  ∡ZWX = 90°

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