Respuesta :

Answer:

The length of the radius of circle is 16.25 cm

Step-by-step explanation:

Answer:

The length of the radius of circle is 16.25 cm

Step-by-step explanation:

we know that

If CD is tangent to circle A at point D

then

the segment CD is perpendicular to the radius AD

and

ACD is a right triangle

so

Applying the Pythagorean Theorem

we have

substitute

solve for r