The figure below shows a circle divided into 3 equal parts- The shaded region corresponds to 2-3rd of the circle- If the unshaded region corresponds to a-3rd of the circle- Then find the value of a-

Since, the entire circle is divided into 3 equal parts, each part represents 1/3^rd of the circle. Since, there are two shaded parts, the shaded region correspo ...

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Standard VI

Mathematics

Fractional Division

The figure be...

Question

The figure below shows a circle divided into 3 equal parts. The shaded region corresponds to ${\frac{2}{3}}^{r d}$ of the circle. If the unshaded region corresponds to ${\frac{a}{3}}^{r d}$ of the circle. Then find the value of $a$ .

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Solution

Since, the entire circle is divided into 3 equal parts, each part represents ${\frac{1}{3}}^{r d}$ of the circle. Since, there are two shaded parts, the shaded region corresponds to ${\frac{2}{3}}^{r d}$ of the circle. There is only one part which is unshaded and hence, this corresponds to ${\frac{1}{3}}^{r d}$ of the circle.

Therefore, $a = 1$

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