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14 questions
The radius of a circle is 13 cm and the length of one of its chords is 10 cm. The distance of the chord from the centre is
11.5 cm
12 cm
23 cm
A chord is at a distance of 8 cm from the centre of a circle of radius 17 cm. The length of the chord is
25 cm
12.5 cm
30 cm
9 cm
In the given figure, BOC is a diameter of a circle with centre O. If AB and CD are two chords such that AB || CD and AB = 10 cm, then CD =
5 cm
12.5 cm
15 cm
10 cm
In the given figure, AB is a chord of a circle with centre O and BOC is a diameter. If OD ⊥ AB such that OD = 6 cm, then AC =
9 cm
12 cm
15 cm
7.5 cm
An equilateral triangle of side 9 cm is inscribed a circle. The radius of the circle is
3 cm
3√2 cm
3√3 cm
6 cm
The center of the circle lies in______ of the circle.
Interior
Exterior
Circumference
None of the above
The longest chord of the circle is:
Radius
Arc
Diameter
Segment
Equal _____ of the congruent circles subtend equal angles at the centers.
Segments
Radii
Arcs
Chords
If chords AB and CD of congruent circles subtend equal angles at their centres, then:
AB = CD
AB > CD
AB < AD
None of the above
If AB and CD are two chords of a circle intersecting at point E, as per the given figure. Then:
∠BEQ > ∠CEQ
∠BEQ = ∠CEQ
∠BEQ < ∠CEQ
None of the above
If a line intersects two concentric circles with centre O at A, B, C and D, then:
AB = CD
AB > CD
AB < CD
None of the above
In the given figure, if OA = 5 cm, AB = 8 cm and OD is perpendicular to AB, then CD is equal to:
2 cm
3 cm
4 cm
5 cm
If AB = 12 cm, BC = 16 cm and AB is perpendicular to BC, then the radius of the circle passing through the points A, B and C is:
6 cm
8 cm
10 cm
12
AD is the diameter of a circle and AB is a chord. If AD = 34 cm, AB = 30 cm, the distance of AB from the centre of the circle is
4 cm
8 cm
15 cm
17 cm
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