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Let the radius of circle be a
Length of rectangle = 4a
Width of rectangle = 2a
Area of rectangle = 4a × 2a = 8a^2
Area of shaded region = Area of rectangle - 2 × Area of circle
= 8a^2 - 2 pi a^2
= 8a^2 - 44a^2 /7
= (56a^2 - 44a^2) / 7
= 12a^2 / 7
Required ratio = 8a^2 : 12a^2 / 7
= 8a^2 × 7 / 12a^2
= 8 × 7 / 12
= 56 / 12
= 14 / 3
= 14 : 3
Length of rectangle = 4a
Width of rectangle = 2a
Area of rectangle = 4a × 2a = 8a^2
Area of shaded region = Area of rectangle - 2 × Area of circle
= 8a^2 - 2 pi a^2
= 8a^2 - 44a^2 /7
= (56a^2 - 44a^2) / 7
= 12a^2 / 7
Required ratio = 8a^2 : 12a^2 / 7
= 8a^2 × 7 / 12a^2
= 8 × 7 / 12
= 56 / 12
= 14 / 3
= 14 : 3
Answered by
4
Hey!!
Let the radius of circle be a
Length of rectangle = 4a
Width of rectangle = 2a
Area of rectangle = 4a × 2a = 8a^2
Area of shaded region = Area of rectangle - 2 × Area of circle
= 8a^2 - 2 pi a^2
= 8a^2 - 44a^2 /7
= (56a^2 - 44a^2) / 7
= 12a^2 / 7
Required ratio = 8a^2 : 12a^2 / 7
= 8a^2 × 7 / 12a^2
= 8 × 7 / 12
= 56 / 12
= 14 / 3
= 14 : 3
Hope this helps you ☺☺
Let the radius of circle be a
Length of rectangle = 4a
Width of rectangle = 2a
Area of rectangle = 4a × 2a = 8a^2
Area of shaded region = Area of rectangle - 2 × Area of circle
= 8a^2 - 2 pi a^2
= 8a^2 - 44a^2 /7
= (56a^2 - 44a^2) / 7
= 12a^2 / 7
Required ratio = 8a^2 : 12a^2 / 7
= 8a^2 × 7 / 12a^2
= 8 × 7 / 12
= 56 / 12
= 14 / 3
= 14 : 3
Hope this helps you ☺☺
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