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Two circles of equal radius 6cm such that the distance between their centres is 15cm, find the length of transverse common tangent. |
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Answer» 12 cm is the answer. EXPLANATION GIVEN below.Step-by-step explanation:if d is the distance between the CENTRES of TWO circles and r1 and r2 are the radii of the circles, Then, length of transverse common tangent = √[d^2 − (r1+r2)^2] Now, we have, r1 = 6 cm r2 = 3 cm d = 15 cm so, length of transverse common tangent √[ (15)^2 − (6 + 3)^2] =√[225 − 81] =√144 =12 cm |
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