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bhumika06090352:
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1)Radius of circle, r =7√2 cm
Since,
/ABC = /ACB = 45° (Angles opposite. to equal sides are equal)
By Angle sum property of triangle,
/ABC = 180° -45° -45° = 90°
Angle of sector,theta = 90°
2) We know,
Area of segment ,
\begin{lgathered}= \frac{ {r}^{2} }{2} ( \frac{\pi \theta}{180 \degree} - \sin( \theta) ) \\ = > \frac{( {7 \sqrt{2} )}^{2} }{2} ( \frac{\pi \times 90\degree}{180 \degree} - \sin( 90 \degree) ) \\ = > 49( \frac{\pi}{2} - 1) \: {cm}^{2}\end{lgathered} = 2r 2
( 180°πθ−sin(θ))=> 2(7 2 ) 2
( 180°π×90° −sin(90°))
=>49( 2π−1)cm
2
Hence, Area of segment is
\boxed { 49( \frac{\pi}{2} - 1) {cm}^{2} }
49( 2π−1)cm
2
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