Question

Help on this please!!


A square is inscribed in a circle
with a radius of 10. What is the
area of the space between the
circle and the square? (Leave
answer in terms of
π.)

Answer 1

HEY MATE.....☺
HERE IS YOUR ANSWER.....☺

Area of Circle = Πr²
here r= 10
so, area = 100Π unit²................(eq-1)

now we know in an inscribed square the radius is equal to half diagonal
so, full diagonal = 20

now using Pythagoras theorem in any one triangle of the square divided by its diagonal.
we get the side of square=20/√2
so ,

area of square =side²

= (20/√2)²=40/2 = 20
so,area of square = 20 unit².....(eq-2)

NOW AREA OF LEAVE PLACE
= AREA OF CIRCLE - AREA OF SQUARE
=$\huge\red{100Π-20}$

I HOPE IT IS HELPFUL....☺
PLZ MARK BRAINLIEST......☺

Answer 2

HEY....HERE IS YOUR ANSWER...

Area of Circle = Πr²
here r= 10
so, area = 100Π

now we know in an inscribed square the radius is equal to half diagonal
so, full diagonal = 20

now using Pythagoras theorem in any one triangle of the square divided by its diagonal.
we get the side of square=20/√2
so ,

area of square =side²

= (20/√2)²=40/2 = 20
so,area = 20

NOW AREA OF LEAVE PLACE
= AREA OF CIRCLE - AREA OF SQUARE
=$\small\green{100Π-20}$

i hope it will help you...☺