Go To Your Study Dashboard

Get Answers to all your Questions

header-bg

If circle and square having the same perimeter. which shape has a greater area?

Answers (1)

best_answer

$eginarrayl extGiven that, perimeter of square and circle are equal.\ extLet, side of square is a extand radius of circle is r.\ extso, Perimeter of square=4a \ Perimeter of circle =2pi r\ extAs given condition, 4a=2pi r\ Rightarrow a=fracpi r2\ extNow, we can find the ratio of area\ fracarea of circlearea of square=fracpi r^2a^2=fracpi r^2left(fracpi r2 ight)^2=frac4pi\ extWe know that value of pi extis 3.14. extSo, frac4pi extgreater than 1.\ extIt shows that, area of circle > area of square.endarray$

Posted by

Deependra Verma

View full answer

Similar Questions

Latest Question