In figure 7.32, radius of circle is 3.4 cm and perimeter of sector P-ABC is 12.8 cm. Find A(P-ABC).


Given radius , r = 3.4cm
Perimeter of sector P-ABC = PA+arc ABC +PC
12.8 = 3.4+ length of arc ABC +3.4
length of arc ABC , l = 12.8-3.4-3.4 = 6cm
Area of sector P-ABC = lr/2
= 6×3.4/2
= 3×3.4
= 10.2cm2
Hence A(P-ABC) is 10.2cm2.

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