In the adjacent figure, a circle is insc...

In the adjacent figure, a circle is inscribed in the quadrilateral ABCD. If `BC = 38` cm, `QB = 27` cm, `DC = 25` cm and AD is perpendicular to DC then what is the radius of the circle ?

A

A)11 cm

B

B)14 cm

C

C)15 cm

D

D)16 cm

Text Solution

Verified by Experts

The correct Answer is:

B

Topper's Solved these Questions

CIRCLE AND ITS TANGENT LINES
LUCENT PUBLICATION|Exercise EXERCISE 8B|27 Videos
CIRCLE AND ITS TANGENT LINES
LUCENT PUBLICATION|Exercise EXERCISE 8B|27 Videos
CENTRE OF TRIANGLE
LUCENT PUBLICATION|Exercise EXERCISE-6B|8 Videos
CONGRUENCE AND SIMILAR TRIANGLES
LUCENT PUBLICATION|Exercise EXERCISE-5B|8 Videos

Similar Questions

Explore conceptually related problems

In the above figure there is an incircle in quadrilateral ABCD. BC = 38 cm, QB = 27 cm, DC = 25 cm and AD _|_ DC. What is the radius of the circle?

A circle is inscribed in the quadrilateral ABCD. Given BC= 38 cm . BQ= 27 cm , CD = 25 cm and angleADC = 90^(@) find the radius of the circle .

A circle is inscribed in a quadrilateral ABCD where /_B=90^@If AD=24 cm AB=30 cm and DS= 8cm find the radius r of the incircle

If AB =112cm, BC=16 cm and AB is perpendicular to BC, then the radius of the circle passing through the points A, B and C is

If circle touches all the sides of a quadrilateral ABCD, if AB = 7 cm, CD = 3 cm, BC = 8.5 cm. Find the length of AD.

A circle touches all the four sides of a quadrilateral ABCD. If AB = 9 cm, BC= 8 cm and CD = 12 cm, then what is DA equal to?

In quadrilateral ABCD,AB |DC and AD is perpendicular to AB.If AB =5.2cm,CD=3.6m,BC=2m, then find the area of quadrilateral

In the figure angle ADC = 90^(@) , BC = 38 cm, CD = 28 cm and BP = 25 cm Find the radius of the circle.

LUCENT PUBLICATION-CIRCLE AND ITS TANGENT LINES-EXERCISE 8A

From a point T which is 13 cm away from center O of a circle whose rad...
Text Solution
|
In the adjacent figure AD is a straight line. OP is perpendicular to A...
Text Solution
|
In the adjacent figure, a circle is inscribed in the quadrilateral ABC...
Text Solution
|
If the length of the three sides of a triangle are 6 cm, 8 cm and 10 c...
Text Solution
|
In the figure given below, what is the measure of angle CBA?
Text Solution
|
A,B,C and D are 4 points on the circumference of the circle and O is...
Text Solution
|
PQ is a common chord of two circles. APB is a secant line joining poin...
Text Solution
|
ABCD is a cyclic quadrilateral. The tangent at A and C meet at a point...
Text Solution
|
In the figure XY is a tangent to the circle with centre O at A. If ang...
Text Solution
|
In the figure given above, AP = 3 cm, PB = 5 cm, AQ = 2 cm and QC = x....
Text Solution
|
In the figure given above, PT is a tangent to a circle of radius 6 cm....
Text Solution
|
A point P moves such that its distances from two given points A and B...
Text Solution
|
In the given figure O is the centre of the circle. Line UTV is tangent...
Text Solution
|
In the figure, angle AOB = 46^(@), AC and OB intersect at right angle ...
Text Solution
|
In the figure given above, O is the centre of the circle and angle AOD...
Text Solution
|
What is the number of circles passing through a given pair of points ?
Text Solution
|
In the given figure, AB is a diameter of a circle and CD is perpendicu...
Text Solution
|
The edges of the diameter of circles are A & B whose centre is P. A po...
Text Solution
|
ABCD is quadrilateral whose sides touch a given circle. Which of the f...
Text Solution
|
Let PAB be a secant to a circle intersecting at points A and B, and PC...
Text Solution
|