Respuesta :
Answer:
The length of the chord is 14.1 units.
Step-by-step explanation:
Given : Two concentric circles with common center Point P.
Smaller circle with radius, PQ = 4.2 unit
Bigger circle with radius, PS = 8.2 unit
Tangent to the smaller circle is a chord of the larger circle.
To find: Length of the chord , RS
Solution:
Perpendicular drawn from the center of the circle to the chord bisect the chord. So,
SQ = QR
In given figure, ΔPSQ
[tex]PQ^2+QS^2=PS^2[/tex] (Pythagoras theorem)
[tex](4.2 unit)^2+QS^2=(8.2 unit)^2[/tex]
[tex]QS=7.042 units[/tex]
RS = SQ + QR = 7.042 units+7.042 units = 14.084 units ≈ 14.1 units.
The length of the chord is 14.1 units.
