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Question 9 : Let C be a circle of radius 5 meters having center at O. Let PQ be a chord of C that passes through points A and B where A is located 4 meters north of O and B is located 3 meters east of O. Then, the length of PQ, in meters, is nearest to

- 6.6
- 7.2
- 8.8
- 7.8

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O is the center of the circle and radius of circle = 5

In triangle AOB, using pythagorean triplet AB = 5

OR = \\frac{3 × 4}{5}) = 2.4

Since OR if from the center it bisects the chord,

PR = RQ

Now in triangle POR,

5^{2} = PR^{2} + (2.4)^{2}

PR = √{19.24}

PQ = 2 √{19.24}

PQ ≅ 8.8

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