Question

A circular piece of wood with a diameter of 5 ft is shown below. A 2 ft square is

cut out of the middle of the piece of wood.

2 ft

What is the approximate remaining area of the wood?

O A. 21 ft2

O B. 16 ft2

O C. 18 ft2

OD 28 ft2

Answer 1

16 ft²

Explanation:

Since we're told that 2 ft diameter was cut of the board. We use the formula for hollow circle to find the area.

Area of remaining body = area of full body - area of removed body.

Area = πd²/4

Area of remaining body = (π * 5²)/4 - (π * 2²)/4

Area of remaining body = 19.64 - 3.142

Area of remaining body = 16.49 ft²

Therefore, the remaining area is then calculated into 16 ft²