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 a

Question

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

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Accepted Answer

8.8. We can form the following figure based on the given information: Since OA = 4 m and OB=3 m; AB = 5 m. OR bisects the chord into PC and QC. Since AB = 5 m, we have a + b = 5 . . . ( i ) a+b = 5 ...(i) a + b = 5 ... ( i ) Also, 4 2 − k 2 = a 2 . . . ( i i ) 4^2\ -k^2=a^2...\left(ii\right) 4 2 − k 2 =