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lozanna [386]
3 years ago
5

What is the area of this figure

Mathematics
2 answers:
notka56 [123]3 years ago
5 0

Answer

370.2 inches^2

Step-by-step explanation:

find the mass of the circle by taking the radius ( 9) square it and times it by pi then divide it by 2. Add that with the (27 times 18) divided by 2.

ivolga24 [154]3 years ago
3 0

Answer:

370.235 sq. inches

Step-by-step explanation:

  1. Area of the figure is equal to the area of the triangle plus the area of the semicircle
  2. The Area of the triangle = 1/2*base*height
  3. The base on the bottom is clearly 27
  4. The height is the same as the diameter of the circle, which is twice the radius, given to us as 9. Therefore, the diameter is 18.
  5. Thus we get A(triangle) = 1/2*27*18 = 243
  6. Now, the area of the semicircle = (pi*r^2)/2
  7. The radius is given as 9, and we get, (pi*9^2)/2 = 127.235
  8. The area of the figure is therefore, 243 + 127.235 = 370.235
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The rectangular bar is connected to the support bracket with a 10-mm-diameter pin. The bar width is w = 70 mm and the bar thickn
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Answer:

P_max = 9.032 KN

Step-by-step explanation:

Given:

- Bar width and each side of bracket w = 70 mm

- Bar thickness and each side of bracket t = 20 mm

- Pin diameter d = 10 mm

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The maximum force P that the structure can support.

Solution:

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                                       T = P / A

                                       P = T*A

                                       P = (120) * (0.07*0.02)

                                       P = 168 KN

- Shear stress in pin:

                                        S = P / A

                                        P = S*A

                                        P = (115)*pi*(0.01)^2 / 4

                                        P = 9.032 KN

- Bearing Stress in each bracket:

                                       T = P / 2*A

                                       P = T*A*2

                                       P = 2*(120) * (0.07*0.02)

                                       P = 336 KN

- The maximum force P that this structure can support:

                                      P_max = min (168 , 9.032 , 336)

                                      P_max = 9.032 KN

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Step-by-step explanation:

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