the perimeter of a sector of a circle of radius 4cm is 18cm.Find the area of the sector.
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Let POQ be the given sector
Given, radius (r) of circle = 5.2 cm
Given perimeter of sector POQ = 16.4 cm
So, OP + OQ + Arc PQ = 16.4 cm
5.2 + 5.2 + Arc PQ = 16.4 cm
Arc PQ = 6 cm
That is, l = Arc length PQ = 6 cm
Therefore,
Area of sector POQ = 1/2 × r × l
= 5.2 x 6 / 2 = 15.6 cm2
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