the sum of the radii of inscribed and ci...

the sum of the radii of inscribed and circumscribed circle of an n sides regular polygon of side a is (A) `a/2 cot (pi/(2n))` (B) `acot(pi/(2n))` (C) `a/4 cos, pi/(2n))` (D) `a cot (pi/n)`

Text Solution

AI Generated Solution

Topper's Solved these Questions

INVERSE TRIGONOMETRIC FUNCTIONS
RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
MATRICES
RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Find the radius of the circumscribing circle of a regular polygon of n sides each of length is a.

If R is the radius of circumscribing circle of a regular polygon of n-sides,then R =

If r is the radius of inscribed circle of a regular polygon of n-sides ,then r is equal to

Find the sum of the radii of the circles, which are respectively inscribed and circumscribed about the a regular polygon of n sides.

The area of the circle and the area of a regular polygon of n sides and the perimeter of polygon equal to that of the circle are in the ratio of tan(pi/n):pi/n (b) cos(pi/n):pi/n sinpi/n :pi/n (d) cot(pi/n):pi/n

Given that the area of a polygon of n sides circumscribed about a circle is to the area of the circumscribed polygon of 2n sides as 3:2 find n.

Prove that the sum of the radii of the radii of the circles, which are, respectively, inscribed and circumscribed about a polygon of n sides, whose side length is a , is 1/2acotpi/(2n)dot

The area of a regular polygon of n sides is (where r is inradius, R is circumradius, and a is side of the triangle (a) (n R^2)/2sin((2pi)/n) (b) n r^2tan(pi/n) (c) (n a^2)/4cotpi/n (d) n R^2tan(pi/n)

The area of a regular polygon of n sides is (where r is inradius, R is circumradius, and a is side of the triangle) (n R^2)/2sin((2pi)/n) (b) n r^2tan(pi/n) (n a^2)/4cotpi/n (d) n R^2tan(pi/n)

If the sum of the roots of the equation sin^(2)theta=k,(0ltk lt 1) lying in [0,2pi] is equal to the angles of a n-sided regular polygon, then the value of n is (a) 6 (b) 4 (c) 2 (d) none of these

RESONANCE DPP ENGLISH-JEE MAINS-All Questions

If the equation of the normal to the curve y=f(x) at x=0 is 3x-y+3=0 t...
Text Solution
|
Of the members of three athletic teams in a certain school, 21 are in ...
Text Solution
|
the sum of the radii of inscribed and circumscribed circle of an n sid...
Text Solution
|
If t a nbeta=(ns inalphacosalpha)/(1-ns in^2alpha) , show that tan(alp...
Text Solution
|
Maximum possible area that can be enclosed by a wire of length 20 cm b...
Text Solution
|
The A D ,B Ea n dC F are the medians of a c A B C , then (A D^2+B E^2+...
Text Solution
|
Let P Q R be a triangle of area with a=2,b=7/2,and c=5/2, where a, b ...
Text Solution
|
Find the equation of a straight lines which passes through the point (...
Text Solution
|
If f(x)=|(log)e|x|| , then (a)f(x) is continuous and differentiable ...
Text Solution
|
Let A B C be a triangle such that /A C B=pi/6 and let a , b and c deno...
Text Solution
|
The total number of ways of selecting two numbers from the set {1,,...
Text Solution
|
f (x)= {{:(3+|x-k|"," , x le k),(a ^(2) -2 + ( sin (x -k))/((x-k))"," ...
Text Solution
|
If chocolates of a particular brand are all identical then the number ...
Text Solution
|
The maximum value of function f(x)=x^3-12 x^2+36 x+17 in the interval ...
Text Solution
|
If (1 + x + x^(2) + x^(3))^(n) = sum(r=0)^(3n) a(r) x^(r) "and" sum(r...
Text Solution
|
One angle of an isosceles triangle is 120^0 and the radius of its incr...
Text Solution
|
Number of ways in which 7 people can occupy 6 seats, 3 seats on eac...
Text Solution
|
If by dropping a stone in a quiet lake a wave moves in circle at a ...
Text Solution
|
Consider 8 vertices of a regular octagon and its centre. If T denotes ...
Text Solution
|
The number of ways in which four different toys and five indistinguish...
Text Solution
|