Question:
How does the relations among chords, arcs, central angles, and inscribed angles be applied in real life? Cite examples.
Answer:
The correlations between curved lines, central measures, and interior measures have numerous practical uses in fields like engineering, earth science, physics, and math. The following are ten illustrations:
Surveying utilizes central measures and interior measures to determine the magnitude of an angle made by two lines extending from the center of a circle to its boundary.
Civil engineering requires knowledge of circular shapes and curved lines for constructing circular structures, like tunnels and bridges.
In physics, the connection between central measures and curved lines can be used to estimate the speed of a moving object based on the bend of its path.
Math makes use of interior measures and central measures in trigonometry to tackle problems regarding circles.
Cartography requires an understanding of curved lines and interior measures for gauging the size of geographical elements, like lakes, rivers, and coastlines.
Electrical engineering needs the connections between curved lines, central measures, and interior measures for designing efficient electrical systems like generators and transformers.
Computer graphics apply the relationship between curved lines and central measures to produce smooth curves and shapes in digital graphics and animations.
Navigation uses central measures and interior measures to calculate the direction and distance of ships or aircraft from a particular point.
Architecture relies on knowledge of curved lines and interior measures for designing circular architectural elements, such as domes and arches.
Earth science utilizes the correlations between curved lines and central measures to examine the formation and structure of geological features like volcanic craters and mountain ranges.