Touch circle

Point A has a distance IA, kl = 10 cm from a circle k with radius r = 4 cm and center S.
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

Did you find an error or inaccuracy? Feel free to write us. Thank you!


Tips to related online calculators
Pythagorean theorem is the base for the right triangle calculator.
Do you want to convert length units?
See also our trigonometric triangle calculator.

We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: