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

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 VII

Mathematics

Fractions

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, the value of $a$ is ___

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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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Similar questions

Q. 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, the value of a is _____.

Q. 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, the value of a is _____.

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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The figure below shows a circle divided into 3 equal parts. The shaded region corresponds to 23rd of the circle. If the unshaded region corresponds to a3rd of the circle. Then, the value of a is ___

Since, the entire circle is divided into 3 equal parts, each part represents 13rd of the circle. Since, there are two shaded parts, the shaded region corresponds to 23rd of the circle. There is only one part which is unshaded and hence, this corresponds to 13rd of the circle. Therefore, a=1

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, the value of $a$ is ___