A model of the bean bag toss board that Scott made is shown. The eyes, nose, and mouth are holes cut in the board. Which measurement is the best estimate of the area of the board that is left after the holes are cut for the eyes, nose, and mouth? Use 3 for pi. Use paper and pencil to find the answer. Responses A 9 5 ft2 89 5 ft 2 8 B 6 3 ft2 86 3 ft 2 8 C 7 3 ft2 87 3 ft 2 8 D 5 1 ft2 4
To find the area of the board that is left after the holes are cut for the eyes, nose, and mouth, we first need to find the area of the entire board.
Let's assume the board is a circle with a radius of 3 feet (since we don't have any specific dimensions given).
The area of a circle is given by the formula A = πr^2, where A is the area and r is the radius. Plugging in the values, we get:
A = 3.14 * (3)^2
A ≈ 28.26 ft^2
Now, we need to determine the area of the holes for the eyes, nose, and mouth.
Assuming they are also circular holes with a radius of 1 foot each, we can calculate their areas using the formula A = πr^2:
Area of each hole = 3.14 * (1)^2
Area of each hole ≈ 3.14 ft^2
Since there are 3 holes, the total area of the holes is 3 * 3.14 = 9.42 ft^2.
To find the area of the board that is left after the holes are cut, we subtract the total area of the holes from the area of the entire board:
Area left = 28.26 ft^2 - 9.42 ft^2
Area left ≈ 18.84 ft^2
Therefore, the best estimate of the area of the board that is left after the holes are cut is approximately 18.84 ft^2.
The answer is not among the options given, so none of the provided options are correct.