In the adjoining figure, if the radius...

In the adjoining figure, if the radius of each of the four outer circles is `r` , what is the radius of the inner circle? (FIGURE) (a) `2/(sqrt(2)+1)r` (b) `1/(sqrt(2))r` (c) `(sqrt(2)-1)r` (d) `sqrt(2)\ r`

Topper's Solved these Questions

ALLIGATION OR MIXTURE
RS AGGARWAL|Exercise All Questions|31 Videos
AVERAGE
RS AGGARWAL|Exercise All Questions|203 Videos

Similar Questions

Explore conceptually related problems

In the figure, when the outer circles all have radii 'r', then the radius of the inner circle will be

A circle is circumscribed around a square as shown in the figure.The area of one of the four shaded portions is equal to (4)/(7). The radius of the circle is (FIGURE) sqrt(2)( b) (1)/(sqrt(2))(c)2(d)3

Three circles of radius 1 cm are circumscribed by a circle of radius r, as shown in the figure. Find the value of r? (a) sqrt(3) + 1 (b) (2+sqrt(3))/(sqrt(3)) (c) (sqrt(3) + 2)/(sqrt(2)) (d) 2 + sqrt(3)

The equation of four circles are (x+-a)^(2)+(y+-a^(2)=a^(2). The radius of a circle touching all the four circles is (sqrt(2)+2)a( b) 2sqrt(2)a(sqrt(2)+1)a(d)(2+sqrt(2))a

In the adjoining figure , seg EF is a diameter and seg DF is a tangent segment. The radius of the circle is r. Prove that, DEtimesGE=4r^2 .

1If r and R be the radii of inner and outer circles respectively,then area of ring is

Three equal circles each of radius r touch one another.The radius of the circle touching all the three given circles internally is (2+sqrt(3))r(b)((2+sqrt(3)))/(sqrt(3))r((2-sqrt(3)))/(sqrt(3))r(d)(2-sqrt(3))r

Two equal circles of radius r intersect such that each passes through the centre of the other.The length of the common chord of the circles is sqrt(r)(b)sqrt(2)rAB(c)sqrt(3)r(d)(sqrt(3))/(2)r

If the sum of the areas of two circles with radii R_1 and R_2 is equal to the area of a circle of radius R, then

The radius of the circle r^(2)-2sqrt(2r) (cos theta + sin theta)-5=0 , is

RS AGGARWAL-AREA-All Questions

Four circles each of radius ' a ' units touch one another. The area ...
Text Solution
|
Four horses are tethered at four corners of a square plot of side 6...
Text Solution
|
In the adjoining figure, if the radius of each of the four outer cir...
Text Solution
|
Four equal circles are described at the four corners of a square so...
Text Solution
|
In order to reach his office on time, Mr. Roy goes through the midd...
Text Solution
|
A kite-shaped quadrilateral of the largest possible area is cut fro...
Text Solution
|
A cow is tethered at point A by a rope. Neither the rope nor the cow i...
Text Solution
|
A cow is tethered at point A by a rope. Neither the rope nor the cow i...
Text Solution
|
Two identical circles intersect so that their centers, and the points,...
Text Solution
|
A one-rupee coin is placed on a plain paper. How many coins of the ...
Text Solution
|
A skating champion moves along the circumference of a circle of rad...
Text Solution
|
Each side of a regular hexagon is 1 cm. The area of the hexagon is ...
Text Solution
|
The difference between the areas of the circumcircle and the incirc...
Text Solution
|
If a circle touching all the n sides of a polygon of perimeter 2...
Text Solution
|
Two equal circles are drawn in square in such a way that a side of ...
Text Solution
|
If radius of a circle is 3c m , what is the area of the circle i...
Text Solution
|
A plate on square base made of brass is of length x cm and width 1 mm....
Text Solution
|
Area of a rectangle is 150 metre sq. When the breadth of the same r...
Text Solution
|
The area of a circle whose radius is the diagonal of a square whose...
Text Solution
|
The ratio of circumference and diameter of a circle is 22 : 7. If t...
Text Solution
|