The angles subtended by arc XY and MN on the centre of the circle are 45° each. The length of the chord XY = 18 cm. The length of the chord MN is .
A
15 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
17 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
18 cm
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
20 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is C 18 cm
We know,
Angle of an arc XY = Angle subtended by the chord XY with the centre of the circle = 45°
Angle of an arc XY = Angle subtended by the chord XY with the centre of the circle = 45°
By the theorem, we get
XY = MN = 18 cm
[Theorem: If the angles subtended by the chords of a circle at the centre are equal, then the chords are equal.]