What is the length of the radius of circle A?

Given:

CD = 18 cm

CE = 8 cm

To find:

The length of the radius of the circle A.

Solution:

Let the radius of the circle be x.

AD = AE = x

CA = CE + AE

CA = 8 + x

The angle between a tangent and radius is always right angle.

Therefore triangle ADC is a right triangle.

Using Pythagoras theorem:

Using algebraic identity:

Subtract x² from both sides.

Subtract 64 from both sides.

Divide by 16 on both sides, we get

The length of the radius of the circle is 16.25 cm.

go hook jvc hgv cj xk jvc 6756