Use the image to answer the question.
An illustration shows a shape that appears as a square with a semicircle attached on the left side and the top. The side of the square is 2 inches and the diameter of the semicircles is 2 inches. The overlapping lines, which include the top and left side of the square, are marked as dashed lines. Right angle symbols are shown on the top left and bottom right corners of the square.
You are making a card for a friend that looks like a heart shape. Solve for the total area of the shape. Use 3.14 as pi. Round the answer to the nearest hundredth.
(1 point)
Responses
7.14 in.2
7.14 in. squared
16.56 in.2
16.56 in. squared
5.57 in.2
5.57 in. squared
10.28 in.2
10.28 in. squared
To find the total area of the shape, you can first calculate the area of the square and then add the areas of the two semicircles.
Area of the square: A = side^2 = 2^2 = 4 square inches
Area of one semicircle: A = 0.5 * pi * (radius)^2 = 0.5 * 3.14 * (1)^2 = 1.57 square inches
The total area of two semicircles = 2 * 1.57 = 3.14 square inches
Total area of the shape = Area of square + Area of two semicircles = 4 + 3.14 = 7.14 square inches
Therefore, the answer is 7.14 in. squared.