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.

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