Use Coupon: CART20 and get 20% off on all online Study Material

Total Price: R

There are no items in this cart.
Continue Shopping
Jayati Dinesh Bharadwaj Grade: 10
        A circle is inscribed in a equilateral triangle of side a. Find the area of the square inscribed in a circle
6 years ago

Answers : (1)

AJIT AskiitiansExpert-IITD
68 Points

DEAR JAYATI , 200_21440_Untitled.gif

First of all the incentre , orthocentre and centroid of the triangle  coincides. now the strategy is that centre of the circle is the centre of square and triangle as well because all are symmetrical figures.

in triangle ABC , angle A is 30 deg as the line connecting A to centre is angle bisector as well. and also bc perpendicular to the side of the trianlge will imply that it is also the median as all points coincide. now apply

r/(a/2) = tan 30  ; sqrt(3) r = a/2 , so r  = a /2*sqrt(3)

so the diagonal of the square is 2r = a/sqrt(3) = a/1.73

1.414 * side  = a/1.73   ( apply pytha. theorem in square ) , side  =  a/1.73*1.414

so area  =  side *side  =  a2/6

Please feel free to post as many doubts on our discussion forum as you can. We are all IITians and here to help you in your IIT JEE preparation.

Now you can win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.

Win exciting gifts by answering the questions on Discussion Forum..

6 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies
  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details

Ask Experts

Have any Question? Ask Experts

Post Question

Answer ‘n’ Earn
Attractive Gift
To Win!!! Click Here for details