A circle with radius 2 is placed against...

A circle with radius `2` is placed against a right angle. A smaller circle is also placed as shown in the adjoining figure. The radius of the smaller circle is:

`3-2sqrt(2)`

`4-2sqrt(2)`

`7-4sqrt(2)`

`6-4sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

MENSURATION
DISHA PUBLICATION|Exercise TEST YOURSELF|15 Videos
MENSURATION
DISHA PUBLICATION|Exercise Practice Exercises (STANDARD LEVEL)|63 Videos
LOGARITHMS
DISHA PUBLICATION|Exercise Test Yourself |15 Videos
MOCK TEST - 3
DISHA PUBLICATION|Exercise Multiple Choice Questions|20 Videos

Similar Questions

Explore conceptually related problems

A circle is drawn in a sectore of a larger circle of radius r, as shown in fugure. The smaller circle is tangent to the two bounding radii and the are of the sector. The radius of the smaller circle is

In the figure below,the triangle is a 3-4-5 sides triangle.Two equal circles are placed as in the figure.The radius of each circle is

The figure shows a quarter circle of radius 2cm in which isinscribed a semi-circle of radius 1cm. A smaller semi-circle isthen inscribed as shown.Find the radius of this smaller semi- circle.

A circle is drawn in a sector of a larger circle of radius r, as shown in the adjacent figure. The smaller circle is tangent to the two bounding radii and the are of the sector. The radius of the small circle is-

In a quadrant of a circle of diameter 4units semicircles are drawn as shown.The radius of the smaller circle (B) is

If ABC is a quarter circle and a circle is inscribed in it and if AB = 1 cm, find radius of the smaller circle.

In a given figure, find radius of smaller circle, if PQRS is the square?

O is the centre of the smaller circle,O' is the centre of bigger circle.CD is tangent to the smaller circle,Find the radius of the smaller circle.

In a circle with centre O and radius 'r ', another smaller circle is inscribed with centre D and radius half that of the bigger circle as shown in the figure. Tangents to the smaller circle from a point A(A-O-T) on the bigger circle meet at E and F and meet its diameter when produced at B and C. Then, ArDeltaABC is :

DISHA PUBLICATION-MENSURATION-Practice Exercises (EXPERT LEVEL)

The figure shows a rectangle ABCD with a semi-circle and a circle insc...
Text Solution
|
The figure shows two concentric circles with centre O. PQRS is a squar...
Text Solution
|
A circle with radius 2 is placed against a right angle. A smaller circ...
Text Solution
|
A regular square pyramid is placed in a cube so that the base of the p...
Text Solution
|
In the figure given below ABCD is a square of side 5 cm and all the fo...
Text Solution
|
ABC is an equilateral triangle with side 6 cm. BPQ is a small equilate...
Text Solution
|
There are two concentric hexagons. Each of the side of both the hexag...
Text Solution
|
In the following figure, three circles are given. The two smaller circ...
Text Solution
|
In the given figure, G, a point on the circle, is the centroid of the ...
Text Solution
|
In a triangle ABC, if (cosA)/a=(cosB)/b=(cosC)/c and the side a =2, th...
Text Solution
|
Find the area of the shaded region if 'ABC is an equilateral triangle...
Text Solution
|
A city has a park shaped as a right angled triangle. The length of the...
Text Solution
|
A conical tent of given capacity has to be constructed. The ratio of t...
Text Solution
|
A circus tent is cylindrical to a height of 3 metres and conical above...
Text Solution
|
All five faces of a regular pyramid with a square base are found to be...
Text Solution
|
There are 300 coins, each coin having radius 2 cm and height 1 cm. The...
Text Solution
|
Find the ratio of the areas of an equilateral triangle ABC and square ...
Text Solution
|
In a triangle ABC, the lengths of the sides AB and AC equal to 17.5 cm...
Text Solution
|
In rectangle ABCD, E, F and G, H are points of trisection of AB and AD...
Text Solution
|
In the given figure below, the boundary of the shaded re- gion compris...
Text Solution
|