If the area of a square is same as the a...

If the area of a square is same as the area of the circle, then the ratio of their perimeters, in terms of `pi` , is (a) `pi\ :sqrt(3)` (b) `2\ :sqrt(pi)` (c) `3\ :pi` (d) `pi\ :sqrt(2)`

Text Solution

AI Generated Solution

Topper's Solved these Questions

ARITHMETIC PROGRESSIONS
RD SHARMA ENGLISH|Exercise All Questions|329 Videos

Similar Questions

Explore conceptually related problems

The area of a square is equal to the area of a circle. The ratio between the side of the square and the radius of the circle is (a) sqrt(pi):1 (b) 1:sqrt(pi) (c) 1:pi (d) pi:1

The ratio of the areas of a circle and an equilateral triangle whose diameter and a side are respectively equal, is (a) pi\ :sqrt(2) (b) pi\ :sqrt(3) (c) sqrt(3)\ :pi (d) sqrt(2)\ :pi

The ratio of the perimeter (circumference) and diameter of a circle is (a) pi\ (b) 2pi (c) pi/2 (d) pi/4

A circle is inscribed in a square of side 14 m. The ratio of the area of the circle and that of the square is (a) pi:3\ (b) pi:4 (c) pi:2 (d) pi:1

If the circumference and the area of a circle are numerically equal, then diameter of the circle is (a) pi/2 (b) 2pi (c) 2 (d) 4

In the sides of a triangle are in the ratio 1:sqrt(3):2, then the measure of its greatest angle is (a) pi/6 (b) pi/3 (c) pi/2 (d) (2pi)/3

The area of the circle x^2+y^2=16 exterior to the parabola y^2=6x is(A) 4/3(4pi-sqrt(3)) (B) 4/3(4pi+sqrt(3)) (C) 4/3(8pi-sqrt(3)) (D) 4/3(8pi+sqrt(3))

The value of the definite integral int_0^(pi/2)sqrt(tanx)dx is sqrt(2)pi (b) pi/(sqrt(2)) 2sqrt(2)pi (d) pi/(2sqrt(2))

If area of a circle inscribed in an equilateral triangle is 48pi square units, then perimeter of the triangle is (a) 17sqrt(3) units (b) 36 units (c) 72 units (d) 48sqrt(3) units

The value of the definite integral I = int_(0)^(pi)xsqrt(1+|cosx|) dx is equal to (A) 2sqrt(2)pi (B) sqrt(2) pi (C) 2 pi (D) 4 pi

RD SHARMA ENGLISH-AREAS RELATED TO CIRCLES-All Questions

If the circumference of a circle increases form 4pi to 8pi , what ...
Text Solution
|
If the radius of a circle is diminished by 10%, then its area is di...
Text Solution
|
If the area of a square is same as the area of the circle, then the...
Text Solution
|
What is the area of the largest triangle that can be inscribed in a se...
Text Solution
|
The ratio of the areas of a circle and an equilateral triangle whos...
Text Solution
|
If the sum of the areas of two circles with radii r1 and r2 is equal t...
Text Solution
|
If the perimeter of a semi-circular protractor is 36 cm, then its d...
Text Solution
|
The perimeter of the sector O A B shown in Fig. 15.106, is (a) (64)...
Text Solution
|
If the perimeter of a sector of a circle of radius 6.5 cm is 29 cm,...
Text Solution
|
If the area of a sector of a circle bounded by an arc of length 5pi...
Text Solution
|
The area of the circle that can be inscribed in a square of side 10...
Text Solution
|
If the difference between the circumference and radius of a circle ...
Text Solution
|
The area of a circular path of uniform width h surrounding a circu...
Text Solution
|
If A B is a chord of length 5sqrt(3) cm of a circle with centre ...
Text Solution
|
The area of a circle whose area and circumference are numerically e...
Text Solution
|
If diameter of a circle is increased by 40%, then its area increase...
Text Solution
|
In Fig. 15.107, the shaded area is (FIGURE) (a) 50(pi-2)c m^2 (b) ...
Text Solution
|
In Fig. 15.108, the area of the segment P A Q is (FIGURE) (a) (a^2)/4(...
Text Solution
|
In Fig. 15.109, the area of segment A C B is (FIGURE) (a) (pi/3-(sq...
Text Solution
|
If the area of a sector of a circle bounded by an arc of length 5pi ...
Text Solution
|