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A tangent at any point of a circle is perpendicular to the radius through the point of contact. Therefore, ∠OTA = 90° and ΔOTA is a right-angled triangle. By Pythagoras theorem, OA2 = OT2 + AT2 52 = OT2 + 42 OT2 = 25 - 16 OT2 = 9 OT = ± 3 Radius OT cannot be negative. Hence, the radius is 3 cm.
80, 120, 30, 45, 9, 13.5, ?
9 14 38 129 ? 2705 16260
...105, 111, 123, 141, ?, 195
11 20 ? 64 112 192
...17 9 10 16.5 35 ? 273
86, 127, ?, 209, 250, 291
9 19 39 ? 159 319
12, 11, 20, 57, 224, 1015
10,14,26,42,70,?