Answer:
yellow area ≈ 48.3 cm²
Explanation:
The area of the yellow region is the difference between the area of a square with side length 15 cm and the area of a quarter circle with radius 15 cm. It is helpful to know the formulas for area for a square and a circle.
Area of the square = s² = (15 cm)² = 225 cm²
The area of the full circle is ...
Area of circle = πr² = π(15 cm)² = 225π cm²
Then the area of 1/4 of that circle will be ...
Area of quarter circle = (225π cm²)/4 = 56.25π cm²
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The difference of these areas is the yellow area:
yellow area = 225 cm² - 56.25π cm² ≈ 48.2854 cm²
yellow area ≈ 48.3 cm²