Question

Point X outside a circle is 34 cm from the center of the circle.

The length of the tangent drawn from point X to the point of
tangency A is 30 cm. The radius of the circle is

Answer 1

Right option is c 16 cm

Explanation:

From the question,

The radius of the circle, the point drawn from the center of the circle to piont X and the length of the tangent drawn from point X to the point of tangency all form a right angle triangle.

Using pythagoras theorem,

a² = b²+c²...................... Equation 1

Where b = the length of the tagent, a = length of the point drawn outside the circle from the center, b = radius of the circle.

Given: a = 34 cm, b = 30 cm.

Substitute into equation 1

34² = 30²+c²

c² = 34²-30²

c² = 1156-900

c² = √256

c² = 16 cm.

Hence the right option is c 16 cm