Question:

In figure 7.34, if A(P-ABC) = 154 cm2 radius of the circle is 14 cm,

Answer:

Given radius of circle , r = 14cm
Area ,A(P-ABC) = 154cm2
(1) Let APC =
A(P-ABC) = (/360)r2
154 = (/360)×(22/7)×142
= (154×360×7)/(22×14×14)
= 90˚
Hence APC is 90˚.
(2)length of arc, l(arc ABC) = (/360)2r
l(arc ABC) = (90/360)×2×(22/7)×14
= (1/4)×2×22×2
= 22cm.
Hence l(arc ABC) is 22cm.

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