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Solve the question no.46.
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Answered by
1
BC = √ 24^2 + 7^2 = √576 +49= √625 = 25
so radius = 25/2 = 12.5
Area of semi circle = pie R^2/2 = 3.14 × (12.5)^2/2
= 245.3
area of right angled = 1/2 × AB× AC = 1/2×7× 24
= 12× 7 = 84
area of Sector BOD = pier^2/360 × 90
= pie r^2/4
= 3.14× 12.5× 12.5 /4
= 122.6
Now area of shaded = area of semi circle - area of right angled + area of sector
= 245.3 - 84 + 122.6
= 283.9
so radius = 25/2 = 12.5
Area of semi circle = pie R^2/2 = 3.14 × (12.5)^2/2
= 245.3
area of right angled = 1/2 × AB× AC = 1/2×7× 24
= 12× 7 = 84
area of Sector BOD = pier^2/360 × 90
= pie r^2/4
= 3.14× 12.5× 12.5 /4
= 122.6
Now area of shaded = area of semi circle - area of right angled + area of sector
= 245.3 - 84 + 122.6
= 283.9
Answered by
1
Given,
AC= 24 cm
AB= 7 cm
angle BOD= 90°
Now,
CB is the diameter
So,
In right-angled ∆ BOD, we have:-
CB= √[(AC)²+(AB)³]
= √[(24)²+(7)²]
= √[576+49]
= √625
= 25 cm
So,
Radius= CB/2= 25/2 cm
Now,
Area of shaded region=
Area of Circle-[Ar.(∆BOD)+ Ar.(quad.COD)
So,
Ar.(circle)= πr²= 22/7*(25/2)²
= 22/7*625/4
= 6875/14 cm²
Now,
Ar.(∆BOD)= 1/2*AC*AB
= 1/2*24*7
= 84 cm²
Again,
Ar.(quadCOD)= 1/4*πr²
= 1/4*6875/14
= 6875/56 cm²
Now,
Ar.(shaded region)
= 6875/14-[84+6875/56]
= 6875/14-[(4704+6875)/56]
= 6875/14-[11579/56]
= (27500-11579)/56
= 15921/56
= 283.303
= 283 cm² (approx)
Hope this helps you!
AC= 24 cm
AB= 7 cm
angle BOD= 90°
Now,
CB is the diameter
So,
In right-angled ∆ BOD, we have:-
CB= √[(AC)²+(AB)³]
= √[(24)²+(7)²]
= √[576+49]
= √625
= 25 cm
So,
Radius= CB/2= 25/2 cm
Now,
Area of shaded region=
Area of Circle-[Ar.(∆BOD)+ Ar.(quad.COD)
So,
Ar.(circle)= πr²= 22/7*(25/2)²
= 22/7*625/4
= 6875/14 cm²
Now,
Ar.(∆BOD)= 1/2*AC*AB
= 1/2*24*7
= 84 cm²
Again,
Ar.(quadCOD)= 1/4*πr²
= 1/4*6875/14
= 6875/56 cm²
Now,
Ar.(shaded region)
= 6875/14-[84+6875/56]
= 6875/14-[(4704+6875)/56]
= 6875/14-[11579/56]
= (27500-11579)/56
= 15921/56
= 283.303
= 283 cm² (approx)
Hope this helps you!
akshatajay1410:
mark as brainliest if you find it helpful
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