The length of the chord of a circle is 24 cm, and the perpendicular distance between the centre and the chord is 5 cm. The radius of the circle is:

13 cm

Length of the chord = 24 cm 

 (Hypotnuese)² = (perpendicular)² + base²

Area of circle = πR² 

In ΔOAC, OA = radius of triangle 

AC = \(\frac{1}{2}\) × A × B

 ⇒ OA² = (AC)² + (OC)² 

⇒ OA = √(12² + 5²) = 13

Area of circle = πR²

⇒ \(\frac{1}{2}\) × 13²

⇒ 531.14 cm²