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# The triangle shown is an equilateral triangle with side length 12 cm.

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The triangle shown is an equilateral triangle with side length 12 cm. A side of the triangle is the diameter of the circle.  What is the area of the shaded region?

Nov 13, 2020

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The triangle shown is an equilateral triangle with side length 12 cm. A side of the triangle is the diameter of the circle.  What is the area of the shaded region?

Hello Guest1

$$A=A_▷-\frac{2}{4}A_▷-\frac{1}{6}\pi r^2$$

$$A=(\frac{12^2\sqrt{3}}{4}-\frac{1}{2}\cdot \frac{12^2\sqrt{3}}{4}-\frac{1}{6}\pi \cdot 6^2)\ cm^2$$

$$A=12.327\ cm^2$$

The area of the shaded region is $$12.327\ cm^2$$

!

Nov 14, 2020