In a circle, a chord AB is 12 cm long and is at a distance of 4 cm from the center. What is the radius of the circle?

Correct option is A

Given :

Length of chord AB = 12 cm
Distance of chord from center = 4 cm

Formula Used :
Perpendicular from center to a chord bisects the chord.

Radius:
r =$$\sqrt{\left(\frac{AB}{2}\right)^2 + d^2}$$​​
Solution :

r = $$\sqrt{6^2 + 4^2}$$​​
​$$= \sqrt{36 + 16}$$​​
​$$= \sqrt{52}$$​ cm