Question

a circle is inscibed in a square of side 4 cm. Determine the left out area. what will be the left out area of the circleif a square is inscribed in the circle? (use pi= 3.14)

Answer 1

Area of the square left out = 3.44 cm²

Area of the circle left out = 4.56 cm²

Side of the square in which the circle is inscribed = 4 cm = a

Area of the square = a² = 16 cm²

For the circle inscribed in the square to have maximum area , it's diameter should be equal to the side of the square .

=> 2r = a

=> r = a/2 = 2 cm

Area of the circle = πr² = 3.14 × 4

= 12.56 cm²

Area of the square left out = 16 - 12.56 = 3.44 cm²

Now a square is inscribed inside the circle .

The square will have maximum area if it's diagonal is equal to the diameter of the circle.

=> 2r = √2d

=> d = √2 ×2 cm

Area of the square inscribed inside the circle = d² = 8 cm²

Area of the circle left out = 12.56 -8

= 4.56 cm²

Answer 2

here is the Answer........