Mathematics
A chord CD of a circle, whose center is O, is bisected at P by a diameter AB.
Given OA = OB = 15 cm and OP = 9 cm. Calculate the lengths of :
(i) CD
(ii) AD
(iii) CB.
Related Questions
In a circle of radius 17 cm, two parallel chords of lengths 30 cm and 16 cm are drawn. Find the distance between the chords, if both the chords are :
(i) on the opposite sides of the center,
(ii) on the same side of the center.
Two parallel chords are drawn in a circle of diameter 30.0 cm. The length of one chord is 24.0 cm and the distance between the two chords is 21.0 cm; find the length of the other chord.
A straight line is drawn cutting two equal circles and passing through the mid-point M of the line joining their centers O and O'.
Prove that the chords AB and CD, which are intercepted by the two circles, are equal.
M and N are the mid-points of two equal chords AB and CD respectively of a circle with center O. Prove that :
(i) ∠BMN = ∠DNM
(ii) ∠AMN = ∠CNM.