Question

in fig the ratio of the areas of two sectors S1 and S2 is​

Answer 1

4 : 5

Answer: The ratio of the areas of the two sectors S1 & S2 is 4 : 5 .

Answer 2

Given: The figure.

To find: The ratio of the areas of two sectors S1 and S2.

Solution:

The area of a sector of a circle is given by the following formula.

$area = \frac{r^{2} \alpha }{2}$

Here, r is the radius of the circle and α is the angle of the sector of the circle. Now, the areas of the two sectors can be written as

$S1 = \frac{r^{2} * 120}{2}$

$S2 = \frac{r^{2} * 150}{2}$

Since the two sectors are the sectors from the same circle, the radius would be the same. Thus, the ratio of the areas of the two sectors can be written as follows.

$\frac{S1}{S2} = \frac{120}{150}$

    $= \frac{3}{4}$

    $= 3:4$

Therefore, the ratio of the areas of two sectors S1 and S2 is 3:4.

Although a figure of your question is missing, you might be referring to the one attached.