The lengths of two parallel chords of a circle are 10 cm and 24 cm lie on opposite sides of the centre. If the smaller chord is 12 cm from the centre, what is the distance (in cm) between the two chords?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 17.
AD = 10/2 = 5 cm and OD = 12 cm
OA (r) = √(122 + 52) = 13 cm
OP (r) = 13 cm and PC = 24/2 = 12 cm
OC = √(132 - 122) = 5 cm
Total distance = OD + OC = 12 + 5 = 17 cm