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Yuki
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A trapezoid is a quadrilateral with at least one pair of parallel sides. It is also known as a trapezium in some parts of the world.
Circumscribed means that the trapezoid's vertices lie on the circumference of a circle, with each side of the trapezoid being tangent to the circle.
The formula for finding the area of a trapezoid circumscribed about a circle is A = (1/2)h(b1 + b2), where h is the height of the trapezoid and b1 and b2 are the lengths of the two parallel sides.
For example, let's say the trapezoid has a height of 10 cm and the two parallel sides have lengths of 6 cm and 12 cm. The area would be A = (1/2)(10)(6 + 12) = 90 cm^2.
Finding the area of a trapezoid circumscribed about a circle is important in geometry and real-life applications, such as calculating the area of a field or designing a circular swimming pool with a trapezoidal deck. It also helps in understanding the relationship between different shapes and how they can be combined to calculate their areas.