Correct option is B
Given:
The radii of two concentric circles are 10 cm and 26 cm.
We need to find the length of the chord of the larger circle that is tangent to the smaller circle.
Concept Used:
The perpendicular distance from the center of the larger circle to the chord equals the radius of the smaller circle.
Formula Used:
Pythagoras theorem:
(Hypotenuse)2 = (Perpendicular)2 + (Base)2
Solution:
From the property we, know that OR is perpendicular and Bisect PS
So, By Pythagoras theorem;
(26)2 = (PR)2 + (10)2
676 = (PR)2 + 100
(PR)2 = 676 - 100 = 576
PR = 24 cm
Thus, chord PS = 48 cm
