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The length of two chords AB and AC of a circle are 8 cm and 6 cm and ∠BAC = 90°, then the radius of circle is
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- 25 cm
- 20 cm
- 4 cm
- 5 cm
- 25 cm
Correct Option: E
According to question , we draw a figure of a circle with two chords AB and AC ,
Here , AB = 8 cm and AC = 6 cm
∠ BAC = 90°
As, BC is the diameter of the circle.
∴ BC = √AB² + AC²
BC = √8² + 6²
BC = √64 + 36
BC = √100 = 10 cm
∴ Radius of the circle = 5 cm