Answer :
Therefore, the actual diameter of the gazebo is 14.7 feet, and its area is 169.06 square feet.
What is area?
Area is a measure of the size of a two-dimensional surface or shape. It is usually expressed in square units, such as square meters (m²) or square feet (ft²). The area of a shape or surface is the amount of space it occupies, and it is calculated by multiplying the length of the shape by its width. For example, the area of a rectangle with a length of 5 meters and a width of 3 meters would be 5 x 3 = 15 square meters. The concept of area is used in many fields, including mathematics, geometry, physics, engineering, and construction.
by the question.
To solve this problem, we need to use the scale factor to find the actual diameter of the gazebo.
The scale is given as 2 inches = 6 feet, which means that 1 inch on the blueprint represents 3 feet in actual size.
So, the actual diameter of the gazebo can be found by multiplying the diameter on the blueprint by the scale factor:
Actual diameter = 4.9 inches * (3 feet / 1 inch) = 14.7 feet
To find the area of the gazebo, we need to use the formula for the area of a circle:
Area = π * [tex]radius^{2}[/tex] We can find the radius of the gazebo by dividing the actual diameter by 2:
Radius = 14.7 feet / 2 = 7.35 feet
Now we can plug in the radius into the formula and use the given value of π:
Area = 3.14 *[tex](7.35 feet)^{2}[/tex] = 169.06 square feet
To learn more about radius:
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