Question

a circle of radius 2 unit is cut into four congruent arcs. the four arcs joined to form a star as shown in the figure if pi is taken as 22/7, then the ratio of the area of the star Figure to the area of the original circle is P/q where p and q are coprime and then P + Q is​

Answer 1

Step-by-step explanation:

Area of shaded region = Area of square ABCD − Area of 4 quadrants − Area of circle with diameter 2 cm

Area of square =4×4=16cm

2

Area of sector =

360

θ

×π×r

2

Area of 4 quadrants =4×

360

90

×π×1×1

=3.14cm

2

Area of circle=π×r

2

=π×1×1

=3.14cm

2

∴ Area of shaded region =16−6.28 =9.72cm

2