A chord PQ of a circle C1 of radius 9.25 cm touches another circle C2 that is concentric to C1 and the radius of C2 is 3 cm. What is the length (in cm) of PQ?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 17.5.
ΔCDP is a right-angled triangle.
Now, we know,
CP2 = CD2 + PD2
⇒ PD = 8.75
So, PQ = 2 × PD = 2 × 8.75 = 17.5 cm
∴ The length of PQ is 17.5 cm.