Determine the shaded area. This figure is not drawn
to scale.
13 m
The shaded area is
(Type an integer or decimal rounded to the nearest hundredth as needed.)
12 m
5 m
57

Respuesta :

Given that a unshaded rectangle is inscribed in a shaded circle, the area of the shaded region is 72.67m².

Given that a unshaded rectangle is inscribed in a shaded circle.

  • Diameter of the circle d = 13m
  • Radius r = d/2 = 13m/2 = 6.5m
  • Dimension of length of the rectangle l = 12m
  • Dimension of width of the rectangle w = 5m
  • Area of the shaded region As = ?

First we calculate the area of the shaded circle.

A = πr² =  π × ( 6.5m )²

A = 132.665m²

Area of the shaded circle is 132.665m².

Area of the unshaded rectangle will be;

A = l × w

A = 12m × 5m

A = 60m²

Area of the unshaded rectangle is 60m².

Now, area of the shaded region will be;

= Area of the shaded circle - Area of the unshaded rectangle

= 132.665m² - 60m²

= 132.665m² - 60m²

= 72.67m²

Given that a unshaded rectangle is inscribed in a shaded circle, the area of the shaded region is 72.67m².

Learn more about area polygons here: https://brainly.com/question/22590672

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