Two concentric circles have radii of 10 cm and 26 cm. Find the length of the chord of the larger circle that is tangent to the smaller circle.​

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