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algol [13]
3 years ago
7

Can someone please help me with this problem

Mathematics
1 answer:
Helen [10]3 years ago
8 0

Answer:

  yellow area ≈ 48.3 cm²

Step-by-step 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

--

The difference of these areas is the yellow area:

  yellow area = 225 cm² - 56.25π cm² ≈ 48.2854 cm²

  yellow area ≈ 48.3 cm²

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