Solution Step 0/0
One circle is circumscribed around a square. Another circle is inscribed within the same square.
How are the areas of the two circles related?
How are the areas of the two circles related?
Explanations
2:1.Half of the square’s diagonal is simultaneously radius R for the big circle.
Half of the square’s side is simultaneously radius r for the small circle.
R = sqrt(2*r^2) = r*sqrt(2).
The area of the big circle = Pi*R^2 = Pi*(r*sqrt(2))^2 = 2*Pi*r^2.
The area of the small circle = Pi*r^2.
The area of the big circle is twice bigger than the area of the small circle.
Check 5:3
Check 4:3
Check 3:2
Check 2:1
