The semicircle refers to half of a circle, specifically the figure enclosed by the center of the circle and two points located on the circumference. It possesses a diameter and a semicircular edge. The area of the semicircle is equivalent to half the area of the complete circle. The formula for calculating the area of the semicircle is as follows:
The formula for the area of a semicircle is S = πr^2/2, where r represents the radius and π is the mathematical constant representing the ratio of a circle’s circumference to its diameter. Given a radius of 5cm for a semicircle, its area would be calculated as 1/2 x π x 5×5 = 39.27 square centimeters. Semicircles are commonly found in daily life, For example, compare the circular shape with the semicircular shape below.
In fact, the application of semicircle area is quite common in daily life, such as:
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In the field of architecture, a semicircular archway with a radius of 8 meters has an area of 1/2 x π x 8² = 100.53 square meters, which can support the weight of large buildings.
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In the field of mathematics, a semicircle with a radius of 5 has an area of 1/2 x π x 5² = 39.27 square centimeters, which can be used to calculate the area and volume of conic sections.
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In the field of engineering, a semicircular pipe with a radius of 12 centimeters has an area of 1/2 x π x 12² = 226.19 square centimeters, which can be used to calculate the flow rate and pressure of the pipe.
Related knowledge points to refer to: “Formula for the Area of a Circle”.
