A circle of radius 4 is inscribed in a trapezoid with bases 5 and 10. Find its area.

univerkov | May 25, 2021 | education

Since a circle is inscribed in the trapezoid, the height of the trapezoid is equal to the diameter of the inscribed circle.

Then KH = D = 2 * R = 2 * 4 = 8 cm.

Let’s calculate the area of the trapezoid.

Savsd = (ВС + АD) * КH / 2 = (5 + 10) * 8/2 = 60 cm2.

Answer: The area of the trapezoid is 60 cm2.

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