In a circle with centre O, suppose A,P,B are three points on its circumference such that P is the mid-point of minor arc AB. Suppose when ∠AOB=θ, area(△AOB)area(△APB)=√5+2, If ∠AOB is doubled to 2θ, then the ratio is area(△AOB)area(△APB) is

In a circle with centre O, suppose A,P,B are three points on its circu

1.	In a circle with centre O, suppose A,P,B are three points on its circumference such that P is the mid-point of minor arc AB. Suppose when ∠AOB=θ, area(△AOB)area(△APB)=√5+2, If ∠AOB is doubled to 2θ, then the ratio is area(△AOB)area(△APB) is
Answer» In a circle with centre $O$ , suppose $A, P, B$ are three points on its circumference such that $P$ is the mid-point of minor arc $A B$ . Suppose when $∠ A O B = θ$ , $\frac{area (△ A O B)}{area (△ A P B)} = \sqrt{5} + 2,$ If $∠ A O B$ is doubled to $2 θ$ , then the ratio is $\frac{area (△ A O B)}{area (△ A P B)}$ is