The figure is made up of an equilateral triangle of

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The figure is made up of an equilateral triangle of side 10 cm and a semicircle. Find the perimeter of the figure. (Take π = 3.14) 10 cm​
The figure is made up of an equilateral triangle of side 10 cm and a semicircle. Find the perimeter of the figure. (Take π = 3.14) 10 cm​

Jawaban dan Penjelasan

Berikut ini adalah pilihan jawaban terbaik dari pertanyaan diatas.

The perimeter of the figure is 35.7 cm.

Explanation

The perimeter of the figure is the sum of the perimeter of the semicircle and 2 times the length of the side of the triangle. The diameter of the semicircle equals to the length of the side of the triangle.

(Note that one side of the triangle lies inside the figure, so it is excluded from the sum.)

Solving it:

\begin{aligned}P&=\frac{1}{2}(\pi d)+2s\\&=\frac{1}{2}(\pi s)+2s\ \ \because d=s\\&=\left(\frac{\pi}{2}+2\right)s\\&=\left(\frac{3.14}{2}+2\right)(10\ \rm cm)\\&=\left(1.57+2\right)(10\ \rm cm)\\&=\left(3.57\right)(10\ \rm cm)\\\therefore\ P&=\boxed{\,\bf35.7\ cm\,}\ \ \sf(answer)\end{aligned}
\blacksquare

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Last Update: Wed, 12 Apr 23