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:
Answer & explanation
Correct answer: option 2
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