Mathematics
garzavero89
14

how to do this can you explain it step by step

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(1) Answers
Jordanstarnes

OA and OC are radii of the circle. Hence, OA = OC. So if AO = 40, then OC = 40. Length of BO = 40 + 45                        = 85 Using the Pythagoras theorem, you can find out the length of AB since tangents to the circle always have an angle of 90 with the circle. AB^2 = BO^2 + AO^2 AB^2 = 85^2 + 40^2 AB^2 = 7225 + 1600 AB^2 = 8825 AB = root of 8225 AB = 90.69 to 2 decimal places. Hopefully this helped :)

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