What is length of chord of a circle with its radius as 5 cm and perpendicular distance from centre is 4 cm?
A
6 cm
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
3 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
10 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
12 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is A 6 cm Radius of the circle, OA=5 cm OP=4 cm
We know that, the perpendicular from the center of a circle to a chord bisects the chord.
∴ AP=PB
Consider triangle OPA.
By pythagoras theorem, AP2 = 52−42 AP2 = 32 AP = 3 cm AP=PB=3 cm AB=AP+PB
∴AB=6 cm
Hence, the length of the chord is 6 cm.