Question

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two squares are attached to the sides of a quarter circle as shown.
what is the best approximation for the area of this figure?
use 3.14 to approximate pi.
178.5 mm²
215.7 mm²
231.8 mm²
278.5 mm²

Explanation:

Step1: Calculate area of 1 square

Area of 1 square: $10 \times 10 = 100$ $\text{mm}^2$

Step2: Calculate area of 2 squares

Total area of 2 squares: $2 \times 100 = 200$ $\text{mm}^2$

Step3: Calculate quarter-circle area

Quarter-circle area: $\frac{1}{4} \times 3.14 \times 10^2 = \frac{1}{4} \times 3.14 \times 100 = 78.5$ $\text{mm}^2$

Step4: Sum all areas

Total area: $200 + 78.5 = 278.5$ $\text{mm}^2$

Answer:

278.5 $\text{mm}^2$