At one end A of a diameter AB of a circle of radius 5 cm, tangent XAY is drawn to - Maths - Circles

Question

At one end A of a diameter AB of a circle of radius 5 cm,
tangent XAY is drawn to the
circle The length of the chord CD parallel to XY and at a
distance 8 cm from A is

Ayush Jha · Accepted Answer

Here is the solution to your question

We have AM = 8cm So, OM = AM - OM =8-5 = 3 cm Since OM is perpendicular to the chord CD So in triangle OCM apply Pythagoras Theorem to get, $C M = \sqrt{5^{2} - 3^{2}} = 4 c m$ Hence CD= 2 CM = 8 cm

At one end A of a diameter AB of a circle of radius 5 cm, tangent XAY is drawn to the circle. The length of the chord CD parallel to XY and at a distance 8 cm from A is

At one end A of a diameter AB of a circle of radius 5 cm, tangent XAY is drawn to the

circle. The length of the chord CD parallel to XY and at a distance 8 cm from A is