Question

What is the radius of the circle if the angle of sector is 90 degree and the angle of sector is 196 cm2

Answer 1

Answer:

Area of circle is 784 cm²

Hence radius of circle is 15.8cm

Answer 2

The given question is What is the radius of the circle if the angle of sector is 90 degree and the angle of sector is 196 cm sq

The angle of sector is 90°

The area of sector is 196 cm. sq.

Area of sector = angle of sector *area of circle

$196 = \frac{90}{360} \times \pi {r}^{2} \\ 196 = \frac{1}{4} \times \frac{22}{7} \times {r}^{2} \\ 196 \times 4 \times \frac{7}{22} = {r}^{2} \\ 249.45 = {r}^{2} \\ r = 15.79cm$

360° is the angle of the circle and 90° is the angle of the sector

Therefore, the radius of the circle obtained is 15.79 cm

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