Question : In the figure we have a square of side length 14 cm. On each side we draw a semicircle of.... Question from @zahraaryoko

October 2018 2 127 Report

$QUIZ \ PRIMARY \ SCHOOL \ MATHEMATICS \ OLYMPIAD$

Question :
In the figure we have a square of side length 14 cm. On each side we draw a semicircle of radius 7 cm with center at the mind point of the side. Find the area regions.

Brillianttt Luas area = 2 x L lingkaran - L persegi
   = 2 πr²-s²
   = 2 22/7.7.7 - 14x14
   = 22 x 14 - 14x14
   = 8x14
   = 72 cm²

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izharulhaq78 tapi 8 x 14 = 112

zahraaryoko salah ngitung:v

izharulhaq78 $\displaystyle L_{\text{1 arsiran}}=2L_t\\L_{\text{1 arsiran}}=2(L_j-L_\Delta)\\L_{\text{1 arsiran}}=2\left(\frac{\theta}{360}\pi r^2-\frac12at\right)\\L_{\text{1 arsiran}}=2\left(\frac{\theta}{360}\cdot\frac{22}7(\frac{1}{2}s)^2-\frac12(\frac{1}{2}s\times\frac12s)\right)\\L_{\text{1 arsiran}}=2\left(\frac{90}{360}\cdot\frac{22}7(\frac{1}{2}\cdot14)^2-\frac12(\frac{1}{2}\cdot14\times\frac12\cdot14)\right)$
$\displaystyle L_{\text{1 arsiran}}=2\left(\frac{1}{4}\cdot\frac{22}77\times7-\frac12(7\times7)\right)\\L_{\text{1 arsiran}}=2\left(\frac{1}{2}\cdot11\times7-\frac{49}2\right)\\L_{\text{1 arsiran}}=2\left(\frac{77}{2}-\frac{49}2\right)\\L_{\text{1 arsiran}}=77-49\\L_{\text{1 arsiran}}=28cm^2\\\\\L_{\text{total}}=4L_{\text{1 arsiran}}\\L_{\text{total}}=4\times28\\\boxed{\boxed{L_{\text{total}}=112cm^2}}$

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