Question

a circle encloses a rectangle of sides 6 cm and 8 cm as shown what us the perimeter of the circle

Answer 1

Ans is 10 π cm
This is ur ans hope it will help you in case of any doubt comment below

Answer 2

Hey there!!!

Thank u for your Question ,

Your Answer is ( D). Because -

let ABCD be a rectangle , and BC And AC be its diagonal
To find out the perimeter of the circle it is necessary to find out its radius first
here we have a rectangle which is enclosed in a circle

Given that ,

Length of the rectangle , l = 8 cm

breadth of the rectangle , b = 6 cm

now if we use the diagonal concept of that rectangle we can easily find out its radius
so ,

Diagonal of rectangle , BC =
$\sqrt{ {8}^{2} + {6}^{2} } \\ \\ = > \sqrt{64 + 36} \\ \\ = > \sqrt{100} \\ = > 10cm$
since , 10 cm is the length of the diagonal = Dia meter of the circle

Radius , r =
$\frac{10}{2} \: cm \\ = > 5cm$
Now we found its radius as well
we know
perimeter of the circle , = 2πr

=> 2×π×5

=> 10 π

Hence perimeter = 10 π

Hope this helps u!!