Questions: Find the approximate area of the shaded region below, consisting of a square with a circle cut out of it. Use 3.14 as an approximation for π.

Transcript text: Find the approximate area of the shaded region below, consisting of a square with a circle cut out of it. Use 3.14 as an approximation for $\pi$.

Solution

Solution Steps

Step 1: Calculate the total area of the outer figure

Total area of the outer square = $side^2 = 10^2 = 100$ square units

Step 2: Calculate the area of each inner figure and sum them

Area of inner circle = $\pi \cdot radius^2 = 3.14 \cdot 5^2 = 78.5$ square units

Step 3: Subtract the sum of the areas of the inner figures from the total area

Shaded area = Total area - Sum of inner areas = 100 - 78.5 = 21.5 square units

Final Answer:

The area of the shaded region is 21.5 square units.

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