Touch circle

Point A has a distance (A, k) = 10 cm from a circle k with radius r = 4 cm and center S.
Calculate:
a) the distance of point A from the point of contact T if the tangent to the circle is drawn from point A
b) the distance of the contact point T from the line SA

Correct answer:

x =  14.5602 cm
v =  4.1601 cm

Step-by-step explanation:

r=4 cm a=10 cm  x2=r2+(r+a)2  x=r2+(r+a)2=42+(4+10)2=2 53=14.5602 cm
S=x r/2=14.5602 4/2=4 53 cm229.1204 cm2  S=(r+a) v/2  v=2 S/(r+a)=2 29.1204/(4+10)=4.1601 cm



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