Question:

Area of a sector of a circle of radius 15 cm is 30 cm2 . Find the length of the arc of the sector.

Answer:

Given radius of circle , r = 15cm
Area of the sector of circle , A = 30cm2
Area of sector = length of arc ×radius/2 = lr/2
Length of arc , = 2A/r = 2×30/15 = 4cm
Hence the length of the arc is 4cm.

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