Question

If $16cm$ long chord is at a distance of $6cm$ from the center of circle, then radius of circle will be :

• A. $10cm$
• B. $5cm$
• C. $10cm$
• D. $15cm$

Answer 1

Answer: (C)

$10cm$

$AP=\frac{1}{2}AB=\frac{1}{2}\times 16=8$

In $\Delta AOP$

$AO=\sqrt{A{P}^2+O{P}^2}$

$r=\sqrt{8^2+6^2}$

$r=\sqrt{64+36}$

$r=10cm$

Thus, (C) is correct