Question

find the length of tangent a point with 9.1 cm away from the center of the circle whode radius is 8.4 cm

Answer 1

Abe iske baad solve kar lena

Answer 2

So, The length of the tangent is $3.5cm$

Step-by-step explanation:

Given,

Find the length of tangent a point $9.1cm$ away from the center of the circle whose radius is $8.4cm$

A tangent to a circle is a straight line which touches the circle at only one point. This point is called the point of tang-ency. The tangent to a circle is perpendicular to the radius at the point of tang-ency.

From figure,

$\angle ABO$ is right angle,

From $\triangle ABO$,

 $OA^{2} =OB^{2} +AB^{2}$

⇒$AB^{2}= OA^{2}-OB^{2}$

⇒$AB =\sqrt{(9.1)^{2}-(8.4)^{2} }$

⇒$AB=\sqrt{82.81-70.56}$

⇒$AB=\sqrt{12.25}$

∴$AB=3.5$

∴ The length of the tangent is $3.5cm$