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Here is a picture that shows one side of a child's wooden block with a semicircle cut out at the bottom. What is the area of the wooden block? *HINT (subtract the semi-circle from the rectangle)* The face of an arch-shaped block. The horizontal side of the block is labeled 9 centimeters and the vertical side of the block is labeled 4.5 centimeters. A semi circle with diameter labeled 5 centimeters is removed from the block.

Here is a picture that shows one side of a childs wooden block with a semicircle cut out at the bottom What is the area of the wooden block HINT subtract the se class=

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akposevictor

Answer:

30.7 cm² (nearest tenth)

Step-by-step explanation:

Area of the wooden block = area of rectangle - area of semi-circle

Area of Rectangle = length × width

Length = 9 cm

Width = 4.5 cm

Area of rectangle = 40.5 cm²

Area of semi-circle = ½(πr²)

Radius (r) = ½ of diameter = ½*5 = 2.5 cm

π = 3.14

Area of semi-circle = ½(3.14*2.5²)

Area of semi-circle = 9.8125 cm²

✅Area of the wooden block = 40.5 - 9.8125 = 30.7 cm² (nearest tenth)

The area of the wooden block is [tex]30.7 cm^2[/tex].

  • The calculation is as follows:

We know that

Area of the wooden block = area of the rectangle - area of semi-circle

Here

[tex]Area\ of\ Rectangle = length \times width[/tex]

Here Length = 9 cm

And, Width = 4.5 cm

So,

Area of rectangle = [tex]40.5 cm^2[/tex]

Now  

Area of semi-circle is

[tex]= \frac{1}{2} \pi r^2[/tex]

[tex]= \frac{1}{2} \times 3.14\times 2.5^2[/tex]

= [tex]9.8125 cm^2[/tex]

Now the Area of the wooden block is

= 40.5 - 9.8125

= 30.7

Therefore we can conclude that the area of the wooden block is [tex]30.7 cm^2[/tex].

Learn more: brainly.com/question/13549064

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