The diagram shows a sector, EOG, of a circle, centre O, with radius r cm. The line

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The diagram shows a sector, EOG, of a circle, centre O, with radius r cm.
The line GF is a tangent to the circle at G, and E is the midpoint of OF.

a. The perimeter of the shaded region is P cm.
Show that

b. The area of the shaded region is Acm2.
Show that


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