MATH SOLVE

5 months ago

Q:
# The largest possible circle is to be cut from a 12-foot square board. Calculate the approximate area, in square feet, of the remaining board (unshaded region)? (A = πr2). (pic is in question comments)

Accepted Solution

A:

------------------------------------------------------------------------------

Find Area of the circle:

------------------------------------------------------------------------------

Area of a circle = πr²

Area of the largest possible circle = π x(12 ÷ 2)²

Area of the largest possible circle = 113.10 ft²

------------------------------------------------------------------------------

Find Area of the square board:

------------------------------------------------------------------------------

Area of a square board = Length x Length

Area of the square board = 12 x 12

Area of the square board = 144 ft²

------------------------------------------------------------------------------

Find area of the remaining board:

------------------------------------------------------------------------------

Area of the remaining board = 144 - 113.10

Area of the remaining board = 30.90 ft²

------------------------------------------------------------------------------

Answer: The area of the remaining board is 30.90 ft².

------------------------------------------------------------------------------

Find Area of the circle:

------------------------------------------------------------------------------

Area of a circle = πr²

Area of the largest possible circle = π x(12 ÷ 2)²

Area of the largest possible circle = 113.10 ft²

------------------------------------------------------------------------------

Find Area of the square board:

------------------------------------------------------------------------------

Area of a square board = Length x Length

Area of the square board = 12 x 12

Area of the square board = 144 ft²

------------------------------------------------------------------------------

Find area of the remaining board:

------------------------------------------------------------------------------

Area of the remaining board = 144 - 113.10

Area of the remaining board = 30.90 ft²

------------------------------------------------------------------------------

Answer: The area of the remaining board is 30.90 ft².

------------------------------------------------------------------------------