Question

the radius of the circle is 3.1 cm and pa is a tangent drawn to the circle from point . if op=x and ap=6.2 find the value of x

Answer 1

Here is the solution...

Answer 2

The value of x is 6.93 cm (approximately).

Step-by-step explanation:

Given:

In the figure given below,

radius ao = 3.1 cm

op=x cm

ap=6.2 cm

x = ?

In Δaop, ao ⊥ ap        [Tangent to a circle is perpendicular to the radius at the point of contact]

∴ Δaop is a right−angled triangle with ∠oap = 90°.

Using Pythagoras' Theorem.

$(ao)^2+(ap)^2=(op)^2$

$(3.1)^2 + (6.2)^2 = op^2$

$9.61+38.44=op^2$

$48.05 = op^2$

$op=\sqrt{48.05} cm$

op = 6.93 cm (approximately).