Practicing Success
The distance between the centres of two equal circles each of radius 4 cm is 17 cm. The length of a transverse tangent is: |
15 cm 16 cm 14 cm 19 cm |
15 cm |
We know that, (Length of transverse tangent)2 = [(distance between the centres)2 – (r1 + r2)2] We have, Radius of first circle = 4 cm Radius of second circle = 4 cm Distance between the centres of two circles = 17 cm According to the formula = (PQ)2 = (17)2 – (4 + 4)2 = (PQ)2 = 289 – 64 = (PQ)2 = 225 = PQ = 15 cm |