As shown in a figure, there are two squares and there is a circle in a small square.
Find the area of a shadow area.
Find the area of a shadow area.
Pi is assumed to be 3.14.
Answer
7.31 cm2
Solution
The area of a shadow portion is determined by (area of a small square) - (area of a circle).
Since the area of a small square is (big square) - (right triangle × 4) = 8 × 8 - 3 × 5 / 2 × 4 = 34 cm2.
When the radius of a circle is set to 1, (area of small square) : (area of circle) = (2 × 2) : (1 × 1 × 3.14) = 4 : 3.14.
Thus, the area of a circle is 34 × 3.14/4 = 26.69 cm2.
Therefore, the area to be found is 34 - 26.69 = 7.31 cm2.
