Question

in the given figure O is the centre of the circle the radius of the circle is 3.1 cm and PA is the tangent drawn to the circle from point P .if OP equal to X centimetre and AP equal to 6.2 CM then find the value of x

Answer 1

Answer:

6.93 cm

Step-by-step explanation:

Hi,

Since PA is the tangent to the circle

∠OAP = 90°

Given AP = 6.2 cm

radius of the circle, OP = 3.1 cm

From triangle OAP, we get

OP² = AP² + OA²

⇒OP² = 3.1² + 6.2² = 3.1²(1 + 4) = 3.1²*√5

⇒OP = 3.1*√5 ≈ 6.93 cm

Hence , value of x is approximately 6.93 cm.

Hope, it helped !