Question

A square is cut out of a circle whose diameter is approximately 14 feet. What is the approximate area of the remaining portion of the circle in square feet?

Answer 1

   see the attached figure to better understand the problem

we know that
the side of square=2*[r*√2/2]=r*√2
r=14 ft
the side of square=14*√2=19.80 ft

[area of the remaining portion of the circle]=[ area of a circle]-[area of a square]

[area of a square]=(14√2)²=392 ft²
[ area of a circle]=pi*14²=615.75 ft²
therefore
[area of the remaining portion of the circle]=615.75-392=223.75 ft²

the answer is 223.75 ft²

Answer 2

Answer:

50 ft square

Step-by-step explanation:

d= 14 ft    r=7

Find the area of the circle:

A = 3.14 * 7* 7

   = 153.86

Area of the Square = 10 * 10

                                = 100 ft square

The you subtract the answers you got in order to ind only for the shaded part...

153.86 - 100 = 53.86

Therefore the answer is 53.86 ...

which can be rounded off to 50 ft square