Two circles of radio 18 cm and 8 cm touches externally.find the length of a direct common tangent to the two circles.
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Step-by-step explanation:
radius of first circle, r1=18
as both the circles touch externally,then distance between their centres is
d(oo')=r1+r2=18+8=26cm
now, length of direct common tangent=root d²-(r1-r2)²
=root (26)²-(18-8)²
=root 676-100
=root 576=24cm
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