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slega [8]
3 years ago
12

What is the area of the shaded portion in the square?

Mathematics
1 answer:
kicyunya [14]3 years ago
4 0

Answer:

36 - 9pi

Step-by-step explanation:

Shaded part = Area of square - Area of white part

= 6^2 - (1/4)*pi*6^2 [Since, the white part is one-fourth of a circle with radius 6 units]

= 36 - 9pi

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Determine the domain on which the following graph of f(x) is negative. ​
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Each group of 3 starred angles plus the 4th angle which is an interior angle of the triangle has a total measure of 360 degrees. The sum of the measures of the three angles of the triangle is 180 degrees.

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Mark the angles and sides of each pair of triangles to indicate that they are congruent.
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Nikki packed unit cubes into a prism, as shown. Which statement about the volume of the box is true?
elena-14-01-66 [18.8K]

See the explanation

<h2>Explanation:</h2>

Hello, recall that you need to write complete questions in order to get exact answers. Here we have a missing diagram so I can help you in a general way. A prism is a three dimensional shape that has two identical ends (flat faces

) and the same cross section all along its length. A cube is a special type of prism having six identical square sides. So the volume of a prism given the length of a side as s is:

V=s^3

For example, suppose we have a box formed by unit cubes as indicated in the figure below, so the length of one side of the blue box will be:

s=1+1+1+1+1+1+1+1=8units

So the volume of the blue box is:

V=8^3 \\ \\ V=512units^3

<h2>Learn more:</h2>

Cube: brainly.com/question/12539359

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3 0
3 years ago
An equilateral is shown inside a square inside a regular pentagon inside a regular hexagon. The square and regular hexagon are s
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Shaded area = area of the hexagon – area of the pentagon + area of the square – area of the equilateral triangle. This can be obtained by finding each shaded area and then adding them.

<h3>Find the expression for the area of the shaded regions:</h3>

From the question we can say that the Hexagon has three shapes inside it,

  • Pentagon
  • Square
  • Triangle

Also it is given that,

An equilateral triangle is shown inside a square inside a regular pentagon inside a regular hexagon.

From this we know that equilateral triangle is the smallest, then square, then regular pentagon and then a regular hexagon.

A pentagon is shown inside a regular hexagon.

  • Area of first shaded region = Area of the hexagon - Area of pentagon

An equilateral triangle is shown inside a square.

  • Area of second shaded region = Area of the square - Area of equilateral triangle  

The expression for total shaded region would be written as,

Shaded area = Area of first shaded region + Area of second shaded region

Hence,        

⇒ Shaded area  = area of the hexagon – area of the pentagon + area of the  square – area of the equilateral triangle.

 

Learn more about area of a shape here:

brainly.com/question/16501078

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