The diagram shows a sector OPQ of a circle with centre O and radius x cm. Angle

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The diagram shows a sector OPQ of a circle with centre O and radius x cm.

Angle POQ is 0.8 radians. The point S lies on OQ such that OS = 5 cm.

The point R lies on OP such that angle ORS is a right angle.

Given that the area of triangle ORS is one-fifth of the area of sector OPQ, find

a. The area of sector OPQ is terms of x and hence show that the value of x is 8.837 correct to 4 significant figures,

b. The perimeter of PQSR.

c. The area of PQSR.

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