The length of a tangent drawn to a circle of radius 4 cm from a point 5 cm away from the center of the circle is:

Correct option is D

Given:
Radius of the circle r = 4 cm
Distance from the point to the center of the circle d = 5 cm
Formula Used:
The length of the tangent T from a point to a circle is given by:
T = $$\sqrt{d² - r²}$$​​
where, d is the distance from the point to the center of the circle
r is the radius of the circle
Solution:

T = √(5² - 4²)
T = √(25 - 16)
T = √9 = 3
The length of the tangent is 3 cm.