contestada

from a circular sheet of radius 4 cm a circle of 3 cm is removed. find the area of the remaining sheet

Respuesta :

7π cm², or ≈ 22 cm²

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Calculate the area of the circular sheet and subtract the area of the circle that was removed.

The area of a circle is given by the formula:

  • A = πr², where r is the radius

Let's calculate the area of the circular sheet:

  • A = π(4 cm)² = 16π cm²

Now, let's calculate the area of the circle that was removed:

  • A = π(3 cm)² = 9π cm²

To find the area of the remaining sheet, we subtract the area of the circle that was removed from the area of the circular sheet:

  • A = 16π cm² - 9π cm² = 7π cm² ≈ 22 cm²

So, the area of the remaining sheet is 7π cm², or approximately 22 cm².