You are spreading fertilizer on a golf course at the rate of 40 pounds per 10,000 square feet. If the course is 320 acres, how m
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<h2>Answer:</h2>
This is a square pyramid because it's a solid having a square base. The point up the pyramid is called the apex and is directly above the middle of the square base. The surface area of a solid is the total area of its outer surface. If we unfold this pyramid, we'll get one square and four identical triangles. So the surface are can be calculated as follows:
FOR THE SQUARE:
FOR THE TRIANGLE:
Finally:
The area of the shaded region is .
Solution:
Given radius = 4 cm
Diameter = 2 × 4 = 8 cm
Let us first find the area of the semi-circle.
Area of the semi-circle =
Area of the semi-circle = cm²
Angle in a semi-circle is always 90º.
∠C = 90°
So, ABC is a right angled triangle.
Using Pythagoras theorem, we can find base of the triangle.
cm
Base of the triangle ABC = cm
Height of the triangle = 4 cm
Area of the triangle ABC =
Area of the triangle ABC = cm²
Area of the shaded region
= Area of the semi-circle – Area of the triangle ABC
=
=
Hence the area of the shaded region is .