The radius of a circle is 8 cm and the distance from the center to chord is 6 cm. Find the length of the chord.
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✯Question✯
- The radius of a circle is 8 cm and the distance from the center to chord is 6 cm. Find the length of the chord.
✭Given✭
- Radius of circle = 8cm
- Perpendicular distance from the center to the chord = 6cm
✭To find✭
- Length of the chord
✵Solution✵
- In ∆ABC , BC = ⁶⁄₂
- BC = 3 cm
- AC = x cm
- AB = 8cm
✩Using Pythagoras theorem✩
- AB² = AC² + BC²
- 8² = AC² + 3²
- 64 = AC² + 9
- AC² = 55
- AC = √55 (already simplified)
✶Length of the chord is √55cm or perpendicular is √55cm✶
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Answer:
Step-by-step explanation:
tion✵
In ∆ABC , BC = ⁶⁄₂
BC = 3 cm
AC = x cm
AB = 8cm
✩Using Pythagoras theorem✩
AB² = AC² + BC²
8² = AC² + 3²
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