EASY
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The tangent to a circle is a special case of the secant, when the two end points of its corresponding chord coincide.

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Important Questions on Circles

MEDIUM

What is the circumference of the largest circle which can be inscribed in a square of side 14 cm? (π=227)

EASY
Find the length of the tangent of the circle with radius 5 cm drawn from the point 13 cm away from the centre of the circle.
EASY
Which among the following statements are certainly correct?
 
 
HARD
In a circle AB is a diameter and CD is a chord. AB and CD produced meet at a point P, outside the circle.If PD=15.3 cm, CD=11.9 cm and AP=30.6 cm, then the radius of the circle is :
EASY
A line which intersects a circle in two distinct points is called the _____ of the circle.
MEDIUM
A, B and C are three points on a circle such that the angles subtended by the chord AB and AC at the centre O are 110° and 130°, respectively. Then the value of BAC is:
EASY
From a point P, 10 cm away from the centre of a circle, a tangent PT of length 8 cm is drawn. Therefore, the radius of the circle is
EASY
The chords AB and CD of a circle interest at E. If AE=12 cm, BE=20.25 cm and CE=3DE, then the length (in cm) of CE is:
MEDIUM
If PAB is a secant to a circle which intersects the circle at A and B, and PT is a tangent to the circle, then prove that PA×PB=PT2
EASY
Number of tangents drawn from a point inside the circle is:
EASY
A circular disc of area 0.64π m2 rolls down a length of 1.408 km. The number of revolutions it makes is: (Take π=227)
HARD

In the given figure TP and TQ are two tangents to the circle with centre O, touching at A and C respectively. If BCQ=55° and BAP=60°, find OBA and OBC

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EASY
A wheel covers a distance of 1100 cm in one round. The daimeter of the wheel is:
EASY
Two circles of the same radius intersect each other at P and Q. If the length of the common chord is 30 cm and the distance between the centres of the two circles is 40 cm, then what is the radius (in cm) of the circles?
EASY
In a circle, chords PQ and TS are produced to meet at R. If RQ=14.4 cm, PQ=11.2 cm, and SR=12.8 cm, then the length of the chord TS is:
HARD
Two circles of radii 15 cm and 10 cm intersect each other and the length of their common chord is 16 cm. What is the distance (in cm) between their centres?
MEDIUM
In a circle with centre OAD is diameter and AC is a chord. Point B is on AC such that OB=7 cm and OBA=60°. If DOC=60°, then what is the length of BC?
EASY
A straight line which passes through two points on a circle is 
MEDIUM
Define secant of a circle.
MEDIUM

In the given figure TP & TQ are two tangents to the circle with centre O, touching at A & C respectively. If BCQ=55° & BAP=60°, find ATC in degrees.

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