Question

area of a sector of a circle with angle 30 degree is 8 square units find the area of the circle also find the radius of the circle​

Answer 1

Answer:

area of circle = 96 square units

radius = 5.52 units

Step-by-step explanation:

area of sector = 8

$\frac{ x }{360} \times \pi {r}^{2} = 8 \\ \frac{30}{360} \times \pi {r}^{2} = 8 \\ \frac{1}{12} \times \pi {r}^{2} = 8 \\ \pi {r}^{2} = 8 \times 12 \\ \pi {r}^{2} = 96$

area of circle = 96 square units

radius of circle

$\pi {r}^{2} = 96 \\ {r}^{2} = \frac{96 \times 7}{22} \\ {r}^{2} = \frac{672}{22} \\ {r}^{2} = 30.54 \\ r = \sqrt{30.54} = 5.52$

radius = 5.52 units

hope you get your answer