Question

1. A point P is at a distance of 29 cm from the centre of a circle of radius
20 cm. Find the length of the tangent drawn from P to the circle.​

Answer 1

Answer:

the answer is

let the distance be x

then by using Pythagoras theorem

x^2=29^2+20^2

x^2=1241

x=√1241

x=35

or 29^2=x^2+20^2

x^2=29^-20^2

x^2=441

x=21

Answer 2

Step-by-step explanation:

we know if the radius is drawn from the center of the circle to the tangent then the radius and tangent are perpendicular to each other

consider the intersection point of radius and tangent is M and the centre of the circle is O

/_PMO = 90°

so, by Pythagoras theorem ,

(PO)² = ( PM) ² + (OM) ²

(29)² = (PM) ² + ( 20)²

841 - 400 = ( PM) ²

441 = ( PM) ²

PM = √441

PM = 21

therefor ,the length of the tangent drawn from P to the circle is 21cm