If discount of 10% is given on the marked price of a radio, the gain is 20%. If the discount is increased to 20%, the gain is
5%
AB and CD are two parallel chords of a circle lying on the opposite side of the centre and the distance between them is 17cm. The length of AB and CD are 10 cm and 24 cm, respectively. The radius (in cm) of the circle is
13
9
18
18
A.
13
Let the radius of circle be r cm.
AB = 10 cm and CD = 24 cm
In ,
...(i)
In
...(ii)
Solving Eqs. (i) and (ii),
From Eq. (i),
r = 13 cm
AC is a chord of circle whose centre is at O. If B is any point on the arc AC and , then the magnitude of is
Two equal arcs of the two circles subtend angle of and at the centre. The ratio of the radii of the two circles is
A chord of length 16 cm is drawn in a circle of radius 10 cm. The distance of the chord from the centre of the circle is
8 cm
6 cm
4 cm
12 cm
In a circle with centre O, AB is a diameter and CD is a chord which is equal to the radius OC. AC and BD are extended in such a way that they intersect each other at a point P, exterior to the circle. The measure of ∠APB is
30°
45°
60°
60°