EASY
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The tangent to a circle is a special case of the secant when the two endpoints of corresponding chord coincide

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Important Questions on Circles

HARD
Let R denote the circular region in the xy- plane bounded by the circle x2+y2=36. The lines x=4 and y=3 divide R into four regions Ri, i=1, 2, 3, 4. If Ri denotes the area of the region Ri and if R1>R2>R3>R4, determine |R1|-|R2|-|R3|+|R4|. (Here Ω denotes the area of the region Ω in the plane)
EASY

A line intersecting a circle in two points is called a secant.

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
MEDIUM
Draw a circle with radius 2.5 cm. Draw a triangle of two angles 50° and 60°  with all its sides touching a circle.
EASY
A line which intersects a circle in two distinct points is called the _____ of the circle.
EASY

In the figure, O is the centre of the circle and x2+y2=25 is the equation of the circle. What is the radius of the circle?

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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.
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:
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
Which among the following statements are certainly correct?
 
 
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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MEDIUM

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

EASY

In the figure, O is the centre of the circle and x2+y2=25 is the equation of the circle. Write the equation of the circle whose centre is at origin and the radius is 3.

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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
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 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 straight line which passes through two points on a circle is 
MEDIUM
Define secant of a circle.
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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