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Alina [70]
2 years ago
10

Determine the shaded area. This figure is not drawn

Mathematics
1 answer:
AleksAgata [21]2 years ago
8 0

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: brainly.com/question/22590672

#SPJ1

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Uv = 8 and wx=5 find the missing measure of a rhombus
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Answer:

  • TU = UV = VW = WT = 8
  • WX = UX = 5
  • XV = XT = √39

Step-by-step explanation:

At first we should know the following about the rhombus

1) All sides are congruent

2) The diagonals are perpendicular and bisects each other.

Given UV = 8 and WX = 5

So, according to (1)

TU = UV = VW = WT = 8

And according to (2)

WX = UX = 5

And ΔWXV is a right triangle at ∠x

So, XV² = WV² - WX² = 8² - 5² = 64 - 25 = 39

∴XV = √39

So, XV = XT = √39

So, the missing measure of a rhombus are as following:

  • TU = UV = VW = WT = 8
  • WX = UX = 5
  • XV = XT = √39
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