Recent questions tagged circles

PQ is a chord of length $8\;cm$ of a circle of radius $5\;cm$ . The tangent at P and Q intersect at a point T. The length of TP is _________

asked Jan 7, 2015 by meena.p

1 answer

Two tangents TP and TQ are drawn to a circle with center 'O' from an external point T. Then $\angle PTQ=$ _______ $ \angle OPQ$

asked Jan 7, 2015 by meena.p

1 answer

ABCD is a quadrilateral such that $\angle D=90^{\circ}$ . A circle $(O,r)$ touches the sides $AB,BC,CD$ and $DA$ at $PQR$ and $S$ respectively . If $BC=38\;cm, CD=25\;cm$ and $BP =27 \;cm$, then r=__________

asked Jan 7, 2015 by meena.p

1 answer

The incircle of a $\Delta ABC$, touches the sides BC , CA and AB at D, E and F respectively. Then $AF+BD+CE = AE+BF+CD=$ _______ perimeter of $\Delta ABC$

asked Jan 7, 2015 by meena.p

1 answer

In the figure O is the centre of a circle of radius $5\;cm$ . T is a point such that $OT= 13\;cm$ and OT intersects the circle at E. If AB is the tangent to the circle at E , then the length of AB is ______

asked Jan 7, 2015 by meena.p

1 answer

In the figure two equal circles touch each other at $T$, if $QP=4.5\;cm$ , then $QR=$______

asked Jan 6, 2015 by meena.p

1 answer

If the figure if PR is the tangent to the circle at P and Q is the centre of the circle , then $\angle POQ$ =

asked Jan 6, 2015 by meena.p

1 answer

In the figure if $AP=PB$, then

asked Jan 6, 2015 by meena.p

1 answer

If the quadrilateral PQRS circumscribes a circle,as shown in the figure . then $PD+QB$ = ______

asked Jan 6, 2015 by meena.p

1 answer

In the figure if PA and PB are tangents drawn to a circle Such that $\angle APB =30^{\circ}$ and chord AC is drawn parallel to the tangent PB, then $\angle ABC$=_____

asked Jan 6, 2015 by meena.p

1 answer

APB is a tangent to a circle with center O at point P, If $\angle QPB =50^{\circ}$ then the measure of $\angle POQ $ is ______

asked Jan 6, 2015 by meena.p

1 answer

Two Concentric circles of radii 3 cm and 5 cm are given. The length chord BC Which touches the inner circle at P is equal to _____________

asked Jan 6, 2015 by meena.p

1 answer

In the figure If $AB =8\;cm$ and $PE= 3\;cm$ , then $AE$=________

asked Jan 6, 2015 by meena.p

1 answer

There are two concentric circles with center O. PR and PS are tangents to the inner circle from point on the circle. If $PR=7.5\;cm$, then $PS$=_______

asked Jan 6, 2015 by meena.p

1 answer

Two chords AB and CD of a circle intersect each other at a point E, inside the circle. If $AE= 3\;cm,CE=5\;cm$ and $EB= 4\;cm$, then $ED= $ __________

asked Jan 6, 2015 by meena.p

1 answer

O is the centre of the circle with radius 5 cm $OP \perp CD, OQ \perp CD , AB \parallel CD, AB= 6 \;cm$ and $CD= 8 \;cm$. Hence PQ is _________

asked Jan 6, 2015 by meena.p

1 answer

If A,B,C are three points on a circle with center O Such that $\angle AOB =90^{\circ}$ and $\angle BOC =120^{\circ}$ then $\angle ABC$ =_________

asked Jan 6, 2015 by meena.p

1 answer

Two circles with centers A and B of radii 3 cm and 4 cm respectively intersect at two points C and D such that AC and BC are tangents to the two circles. The length of the common chord CD is _________

asked Jan 6, 2015 by meena.p

1 answer

In the figure a circle with center O is inscribed in a quadrilateral ABCD such that, it touches BC,AB,AD and CD at points P,Q,R and S respectively . If $AB=29\;cm, AD= 23\;cm, \angle B=90^{\circ}$ and $DS=5 \;cm$ then the radius of the circle is

asked Jan 6, 2015 by meena.p

1 answer

In a circle with center O chords AB and CD intersect inside the circumference at E. Then $\angle AOC + \angle BOD$ = _______ $\angle AEC$

asked Jan 6, 2015 by meena.p

1 answer

AB and CD are two parallel chords of a circle with center O Such that $AB= 6\;cm$ and $CD= 12\;cm$ . The Chords are on the same side of the centre and the distance between them is $3\;cm$ The radius of the circle is

asked Jan 6, 2015 by meena.p

1 answer

The chord of a circle is equal to its radius. The angle subtended by this chord at the minor are of the circle is

asked Jan 6, 2015 by meena.p

1 answer

Given below is the construction to draw a circle whose radius is 4 cm with center O and diameter POQ and through P or Q to draw a tangent to the circle. Which step is wrong in the construction ? Step 1 :Taking O as circle as center and radius equal to 4 cm draw a circle. Step 2: Draw diameter of POQ Step 3 : Construct $\angle PQT =45^{\circ}$ Step 4 : Produce TQ to T' obtain the required tangent TQT'

asked Jan 5, 2015 by meena.p

1 answer

The these sides of a triangle of a triangle ABC are 8 cm,10 cm and 12 cm. These circles are drawn with centres A,B and C each one touching the other two. The radii of circles are ___________

asked Jan 5, 2015 by meena.p

1 answer

In two concentric circles, a chord of length 24 cm of larger circle becomes a tangent to the smaller circle Whose radius is 5 cm. The radius of the larger circle is _________

asked Jan 5, 2015 by meena.p

1 answer

O is the center of a circle of radius 9 cm. A point P at a distance of 41 cm from O. The length of the tangent segment from P to the circle is _________

asked Jan 5, 2015 by meena.p

1 answer

ABC is a right angled triangle at A. A circle is inscribed in it. The length of two sides the right angle are 12 cm and 5 cm. The radius of the incirle is ______________

asked Jan 5, 2015 by meena.p

1 answer

Two circles of radii 6 cm and 14 cm have their centres 30 cm apart. The radius of the smallest circle which touches both of them and encloses the smaller circle is ____________

asked Jan 5, 2015 by meena.p

1 answer

Two circles with centre A and B and of radii 5 cm and 3 cm touch each other internally.If the perpendicular bisector of segment AB meets the bigger circle in P and Q,then the length of PQ is ___________

asked Jan 5, 2015 by sreemathi.v

1 answer

In the given figure TAS is a tangent to the circle,with centre O,at the point A.If $\angle OBA=32^{\large\circ}$,then the values of $x$ and $y$ are _____

asked Jan 5, 2015 by sreemathi.v

1 answer

In the given figure chords AB and CD of a circle intersect at O.AO=5 cm,BO=3 cm and CO=2.5 cm.Then the length of DO=______

asked Jan 5, 2015 by sreemathi.v

1 answer

A bird is sitting on top of a vertical pole 20m high and its elevation from point O on the ground is 45 $^{\circ}$. It flies off horizontally straight away from the point O. After one second, the elevation of the bird from O is reduced to 30$^{\circ}$. Then the speed in m/s of the bird is?

asked Apr 6, 2014 by balaji.thirumalai

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