Question

the angle of a sector of a circle is 90 degre. the ratio of the area of the sector and that of the circle is

Answer 1

1:4 is the answer.Since it is a quadrant

Answer 2

Let the radius of circle be r

Area of circle = pi r^2

Angle of sector = 90°

Area of sector = pi r^2 × 90 / 360

= pi r^2 / 4

Required ratio = Area of sector : Area of circle

= [(pi r^2) /4] / (pi r^2)

= 1/4

= 1:4