Question

if the area of sector of circle is 7 / 20 of the area of circle then the sector angle is equal to​

Answer 1

The answer will be 126.

According to given condition area of sector is 7 / 20 of area of the circle.

After putting this condition we calculate area of sector which is 7 / 20 times of area of circle .

Also we know that area of sector is generally equals to

$\frac{\theta}{360} \times \pi {r}^{2}$

After equating both conditions (putting these two conditions is equals to each other )we can easily calculate the value of angle θ which is

the angle of sector as shown in attachment .

Answer 2

Answer:

Area of sector=

$\frac{ \theta}{360} \cancel\pi {r}^{2} = \frac{7}{20} \cancel {\pi {r}^{2}} \\ \implies \theta = \frac{360 \times 7}{20} \\ = 126$

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