1. The figure below shows two concentric circles with centre 0. PQRS is a square, inscribed in the outer circle. It also circumscribes the inner circle, touching it at points B, C, D and A. What is the ratio of the perimeter of the outer circle to that of polygon ABCD?





Write Comment

Type in
(Press Ctrl+g to toggle between English and the chosen language)

Comments

  • By: anil on 05 May 2019 02.31 am
    By symmetry, it is safe to assume that the polygon ABCD is a square. So, AB = PO. The perimeter of the inner square = 4 AB. The perimeter of the outer circle = $$ 2 pi imes AB$$ So, ratio = $$ frac{2 pi imes AB}{4AB}$$ = $$ frac{pi}{2}$$
Tags
Show Similar Question And Answers
QA->If the perimeter of circle is 50 cm, its area will be :....
QA->The ratio of the age of two sisters is 3:The product of their ages is The ratio of their ages after 5 years will be:....
QA->Who is the author of the book "Inner Circle" ?....
QA->A regular polygon having eight sides is called :....
QA->On November 30, 2014, the Simon Wiesenthal Center reported that a senior Nazi figure who centrally involved in the implementation of the Holocaust had died in Syria around 2010, or four years earlier. Who is that Nazi figure?....
MCQ->The figure below shows two concentric circles with centre 0. PQRS is a square, inscribed in the outer circle. It also circumscribes the inner circle, touching it at points B, C, D and A. What is the ratio of the perimeter of the outer circle to that of polygon ABCD?....
MCQ->Let $$S_1$$ be a square of side 4 cm. Circle $$C_1$$ circumscribes the square $$S_1$$ such that all its corners are on $$C_1$$. Another square $$S_2$$ circumscribes the circle $$C_1$$. Circle $$C_2$$ circumscribes the square $$S_2$$, and square $$S_3$$ circumscribes circle $$C_2$$, & so on. If $$A_N$$ is the area between the square $$S_N$$ and the circle $$C_N$$, where N is the natural number. then the ratio of sum of all $$A_N$$ to $$A_l$$ is ....
MCQ->Let $$A_{1}$$ be a square whose side is a metres. Circle $$C_{1}$$ circumscribes the square $$A_{1}$$ such that all its vertices are on $$C_{1}$$. Another square $$A_{2}$$ circumscribes $$C_{1}$$. Circle $$C_{2}$$ circumscribes $$A_{2}$$, and $$A_{3}$$ circumscribes $$C_{2}$$, and so on. If $$D_{N}$$ is the area between the square $$A_{N}$$ and the circle $$C_{N}$$, where N is a natural number, then the ratio of the sum of all $$D_{N}$$ to $$D_{1}$$ is:....
MCQ->There are two concentric circles such that the area of the outer circle is four times the area of the inner circle. Let A, B and C be three distinct points on the perimeter of the outer circle such that AB and AC are tangents to the inner circle. If the area of the outer circle is 12 square centimeters then the area (in square centimeters) of the triangle ABC would be....
MCQ->O is the centre of two concentric circles. AE is a chord of the outer circle and it intersects the inner circle at points B and D. C is a point on the chord in between B and D. What is the value of AC/CE?A. BC/CD=1 B. A third circle intersects the inner circle at B and D and the point C is on the line joining the centres of the third circle and the inner circle.....
Terms And Service:We do not guarantee the accuracy of available data ..We Provide Information On Public Data.. Please consult an expert before using this data for commercial or personal use
DMCA.com Protection Status Powered By:Omega Web Solutions
© 2002-2017 Omega Education PVT LTD...Privacy | Terms And Conditions