Presented by: Shiza, Ifra and Eshaal.
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1. How are circles and
circular elements
(e.g., arches, domes,
w indows) used in
real-world
structures, and how
do engineers
calculate the area
of these designs?
Circles and circular elements like arches,
domes, and w indows are used in realworld structures for both aesthetic and
functional purposes. They provide
structural strength, especially in domes
and arches, which distribute weight
evenly. Engineers calculate the area of
these circular designs using the formula
A=πr2 where r is the radius. F or
compound shapes that include circles,
they may break down the design into
simpler shapes and calculate each area
separately before adding them together.
1. How does understanding the area of compound shapes w ith circles
contribute to cost-efficiency and space optimization in construction
projects?
Understanding the area of compound shapes helps architects and engineers
optimize material use and space. By know ing the area, they can accurately
calculate the amount of material needed for construction, avoiding waste and
ensuring the design fits w ithin the budget. Additionally, calculating the area of
compound shapes helps w ith space planning, allow ing for better use of available
land or space in buildings, contributing to more efficient construction projects.
3. In what ways are
compound shapes w ith
circles utilized in
landscape design, and
how is area calculated
for these applications?
In landscape design, compound shapes w ith
circles are often used for creating circular
pathways, gardens, water features, or
decorative elements like fountains. The area
for these applications is calculated by first
determining the area of individual circular
components, using the formula A=πr2. If the
design includes complex or irregular shapes, it
may be divided into smaller parts, such as
sectors or arcs, and the areas of each part
are added together to find the total area.