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Answers
Step-by-step explanation:
d) radius of outer circle=3.5cm
area of outer circle=pi×r²
=22/7×3.5×3.5
=38.5cm²
radius of inner circle=2.1cm
area of inner circle=pi×r²
=22/7×2.1×2.1
=13.86cm²
area of shaded region=area of outer circle - area of inner circle
=38.5-13.86
=24.64cm²
e)area of the rectangle=l×b
=20×14
=280cm²
radius of the semicircle=14/2(because 14 is the diameter)
=7cm
area of semicircle=pi×r²/2
=22/7×7×7/2
=77cm²
area of shaded region=area of rectangle+area of semicircle
=77+280
357cm²
f) diagonal of rectangle=diameter of circle
diagonal of rectangle=root of 21²+28²
=root of 441+784
=root of 1225
=35cm
diameter of circle=35cm
radius of circle=35/2
=17.5cm
area of circle=pi×r²
=22/7×17.5×17.5
=962.5cm²
area of rectangle=21×28
=588cm²
area of shaded region=area of circle - area of rectangle
=962.5-588
=374.5cm²
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