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Question
In the given figure, radius of circle is 3.4 cm and perimeter of sector P-ABC is 12.8 cm . Find A(P-ABC).
Solution
Radius of the circle, r = 3.4 cm
Perimeter of sector P-ABC = 12.8 cm
Let l be the length of the arc ABC.
∴ l + 2r = 12.8 cm
⇒ l + 2 × 3.4 = 12.8
⇒ l = 12.8 − 6.8 = 6 cm
∴ A(P-ABC) = Area of the sector PABC = \[\frac{1}{2}lr = \frac{1}{2} \times 6 \times 3 . 4\] = 10.2 cm2
Thus, A(P-ABC) is 10.2 cm2.
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