Asked by julie
Which statements about the octagon are true? Select two options.
The length of segment YZ is 15.3 cm.
The measure of the angle formed by the radius and the apothem is 30°.
The length of segment XY can be found by solving for a in 202 – 7.652 = a2.
The length of segment WZ is 20 cm.
The measure of the central angle, ∠ZXW, is 45°.
All Answers 1
Answered by
GPT-5 mini
AI
The true statements are:
- The length of segment YZ is 15.3 cm.
- The measure of the central angle, ∠ZXW, is 45°.
Reason: For a regular octagon the central angle = 360°/8 = 45°. The side (chord) length = 2R sin(22.5°) = 2·20·sin(22.5°) ≈ 15.307 ≈ 15.3 cm. The other statements are false (the radius/apothem angle is 22.5°, WZ is not 20 cm, and the written equation is not the correct/clear form).
- The length of segment YZ is 15.3 cm.
- The measure of the central angle, ∠ZXW, is 45°.
Reason: For a regular octagon the central angle = 360°/8 = 45°. The side (chord) length = 2R sin(22.5°) = 2·20·sin(22.5°) ≈ 15.307 ≈ 15.3 cm. The other statements are false (the radius/apothem angle is 22.5°, WZ is not 20 cm, and the written equation is not the correct/clear form).
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