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Find the length of the chord |AB| in the diagram shown above.


Question

Find the length of the chord |AB| in the diagram shown above.

Options

A) 4.2 cm

B) 4.3 cm

C) 3.2 cm

D) 3.4 cm

The correct answer is D.

Explanation:

Length of chord = \(2r \sin (\frac{\theta}{2})\)
= \(2(3) \sin (\frac{68}{2})\)
= \(6 \sin 34\)
= \(6 \times 0.559\)
= 3.354 cm \(\approxeq\)  3.4 cm

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