A certain coin is a circle with diameter 18 mm. What is the exact area of either face of the coin in term of
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Answer:
26 cm²
Step-by-step explanation:
The area of the rectangle whose dimensions are shown at the right and bottom is ...
(6 cm)(7 cm) = 42 cm²
The figure is smaller than that by the area of the space whose dimensions are shown at the right and in the middle left:
(4 cm)(4 cm) = 16 cm²
The figure area is then the difference ...
42 cm² - 16 cm² = 26 cm²
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<em>Alternate solution</em>
Draw a diagonal line between the lower right inside corner and the lower right outside corner. This divides the figure into two trapezoids.
The trapezoid at lower left has bases 7 and 4 cm, and height 6-4 = 2 cm. Its area is ...
A = (1/2)(b1 +b2)h = (1/2)(7 + 4)(2) = 11 . . . . cm²
The trapezoid at upper right has bases 6 cm and 4 cm and height 3 cm. Its area is ...
A = (1/2)(b1 +b2)h = (1/2)(6 + 4)(3) = 15 . . . . cm²
Then the area of the figure is the sum of the areas of these trapezoids, so is ...
11 cm² + 15 cm² = 26 cm²
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<em>Comment on other alternate solutions</em>
There are many other ways you can find the area of this figure. It can be divided into rectangles, triangles, or other figures of your choice. The appropriate area formulas should be used, and the resulting partial areas added or subtracted as required.
You can also let a geometry program find the area for you. (It is 26 cm².)
The Lateral Surface Area of Square based pyramid whose height= 71 feet Slant height= 90 feet and Base= 115 feet is 20700 .
The Lateral Surface Area is 20700
The word "lateral" means "belonging to the side". So the lateral area of a square pyramid is the sum of the areas of its side faces. This is also known as the lateral surface area (LSA) of the square pyramid. We know that a square pyramid has:
- a base which is a square.
- 4 side faces, each of which is a triangle.
It is given that,
- height, h= 71 feet
- Slant height, l= 90 feet
- Base, b= 115 feet
Lateral Surface Area of square pyramid is,
LSA=
Where p= perimeter of base
l= slant height
Perimeter of base = 4 x side
= 4 x 115
= 460 feet
Now, Lateral Surface Area of square pyramid is,
=
= 460 x 45
= 20700
Hence the Lateral Surface Area of square pyramid is 20700
Learn more about Lateral Surface Area of Pyramid here:
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