in the adjacent figure o is the centre of the circle and radius oa=5cm if oc perpendicular ab and oc=3 cm find the length of the chord ab
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oa squre = oc square + ac square
5 square= 3 square + ac square
25 =9 + ac square
25-9= ac square
under root 16 = ac
4 = ac
so ab = 4+4
= 8cm
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Answer:
The length of chord ab is 8cm.
Step-by-step explanation:
Since OC is perpendicular to ab from the centre of the circle, it bisects the chord AB. And AC, OA and OC form a right triangle. From this, we can find AC, which comes out to be 4cm in length. Hence length of AB would be double of AC and is equal to 8cm.
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