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The area of a square inscribed in a circle of radius 8 cm is
Let ABCD be the square inscribed by a circle
Area of square
A line that intersects a circle in two distinct points is called :
Secant is a line that intersects a circle in two distinct points.
Two circles touch each externally at C and AB is a common tangent to the circles, then \(\angle \)ACB is:
Let ,
The angle between two tangents drawn from an external point to a circle is \(110^o \). The angle subtended at the centre by the segments joining the points of contact to the centre of circle is :
In the figure, O is centre of a circle. MN is a chord and the tangent ML at M makes an angle of \(70^o \) with MN. \(\angle \)MON is equal to:
The distance between two parallel tangents of a circle of radius 5 cm is
Distance between two parallel tangents
A quadrilateral ABCD is drawn to circumscribe a circle. If AB = 12 cm, BC = 15 cm and CD = 14 cm, then AD is
…(1)
…(2)
…(3)
If tangents PA and PB from an external point P to a circle with centre O are inclined to each other at an angle of \( 80^o\), then \(\angle \)POA is equal to
In
If two tangents inclined at an angle of \(60^o \) are drawn to a circle of radius 3 cm, then the length of each tangent is equal to :
In the figure, AB, AC, PQ are tangents. If AB = 5 cm, then perimeter of \( \triangle\)APQ is:
Perimeter
In the figure, \(PQ \) and \(PR \) are the tangnets to the circle with centre O such that \(\angle QPR=50^o \). Then \(\angle OQR \) is equal to:
In two concentric circles, if chords are drawn in the outer circle which touch the inner circle, then
All chords are of the same length as their distances from the centre are equal which is radius of the inner circle.
A tangent \(PQ \) at the point \(P \) of a circle meets a line through the centre \( O\) at a point \(Q \), so that \(OQ=12\ cm \) and \(PQ=\sqrt{119}\ cm \), the diameter of circle is
Diameter
In the figure, a quadrilateral ABCD is drawn to circumscrible a circle. Then
In the figure, if the semiperimeter of \(\triangle \)ABC is 23 cm, then AF + BD + CE is
In the figure, AP = 2 cm, BQ = 3 cm and RC = 4 cm, then the perimeter of \(\triangle \)ABC (in cm) is :
In the figure, AQ, AR and BC are tangents to circle with centre O. If AB = 7 cm, BC = 5 cm, AC =5 cm, then length of the tangent AQ is :
In the figure, triangle ABC is circumscribing a circle. Then the length of BC is :
In the figure, angle \(OBC=30^o \), then value of x is
In
From a point P which is at a distance of 13 cm from the centre O of a circle of radius 5 cm, the pair of tangents PQ and PR to the circle are drawn. Then the area of the quadrilaterla PQOR is:
Area of
Area of quadrilateral
In the figure, \(AT \) is the tangent to the circle with centre \(O \) such that \(OT=4\ cm \) and \(\angle OTA=30^o \). Then \(AT \) is equal to:
In the figure, \( O\) is the centre of the circle with \(\angle TQM=35^o \), then angle \( ATQ\) would be equal to
But
In the figure, \(AB \) is a chord of cirlce and \(AOC \) is diameter such that \(\angle ACB=55^o \). If \( AT\) is a tangent to the circle at point \(A \), then angle \(BAT \) is :
A circle touches all the four sides of quadrilaterial ABCD whose sides are AB = 6 cm, BC = 7 cm, CD = 4 cm. The length of side AD is :
PQ is a tangent to a circle with centre O at point P. If \(\triangle \)OPQ is an isosceles triangle, then \(\angle \)OQP is equal to:
In the figure, PQR is the tangent to a circle at Q whose centre is O. AB is a chord parallel to PR and \(\angle BQR=70^o \), then angle \(\angle AQB \) is equal to
In and
(common)
( Perpendicular from the centre bisect two chord)
(SAS)
(cpct)
In the figure, the pair of tangents AP and AQ, drawn from an external point A to a circle with centre O, are perpendicular to each other and length of each tangent is 4 cm, then the radius of the circle is :