the length of a tangent to a circle from a point which is at a distance of 5cm from the centre of a the circle is 4cm.Find the radius
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Answer:
Length of the Tangent to a Circle. It is observed that |TC| is the radius of the circle, so |TC|2=g2+f2–c. This gives the length of the tangent from the point P(x1,y1) to the circle x2+y2+2gx+2fy+c=0.
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Step-by-step explanation:
radius = 3 cm
by pythagoras theorem
a² + b² = c²
5² = 4² + r²
r² = 25 -16
r² =9
r = 3 cm
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