Multiple choice

The length of two chords AB andAC of a circle are 8 cm. and 6 cm and ? BAC = 900 , then the radius of circle is-

  1. 3 cm

  2. 5 cm

  3. 4.5 cm

  4. 5.4 cm
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Triangle ABC is right-angled at A (since ∠BAC = 90°). In a circle, the diameter subtends a right angle at any point on the circumference, so BC is the diameter. Using Pythagoras theorem: BC = √(AB² + AC²) = √(8² + 6²) = √(64 + 36) = √100 = 10 cm. Therefore radius = BC/2 = 5 cm.

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