Question

The largest possible circle is cut out of a square whose side length is 8 feet. What will be the approximate area, in square feet, of the remaining board? ( A=3.14r2)

Answer 1

Therefore the area of remaining board =13.76 square feet

Explanation:

Given , The length of side of the square is 8 feet.

Since a circle is inscribed in the square. Then the diameter of the circle is equal to the length of side of the square .

Therefore the diameter of the circle is = 8 feet.

Radius of the circle is(r) =
`(8)/(2)` feet = 4 feet

The area of the circle is= 3.14 r²

= 3.14 × 4² square feet

= 50.24 square feet

The area of the square is = side × side

= 8×6 square feet

=64 square feet

Therefore the area of remaining board = (64- 50.24)square feet

=13.76 square feet