Question

In Figure-1, from an external point P, two tangents PQ and PR are
drawn to a circle of radius 4 cm with center O if angle QPR =90°,then length of PQ is
(A) 3 cm
(B) 4 cm
(C)2 cm
(D) 2root2 cm
​

Answer 1

Answer:

the answer is option b)4cm

please mark it as a brainliest answer

Answer 2

Given: two tangents PQ and PR are  drawn to a circle,

          radius 4 cm,

          angle QPR =90

To find: length of PQ

Solution:

• Looking to the figure, we can understand that OQ is perpendicular to QP,

• Similarly, OR is perpendicular to PR.

• Now,

        AC = BC = 4 cm ...........(radius of the circle)

• Now, consider the tangents PQ and PR, we get,

        PQ = PR........(tangent from a same point that is P)

• By considering all the above points, we can prove it that it is a square

• So, PQOR is a square.

• So since it is a square, so all the sides are same,

           OQ = OR = RP = QP = 4 cm

Answer:

            So the length of PQ is (B) 4 cm