Question

find the ratio between the area of the shaded portion and the unshaded portion of the following figure​

Answer 1

Answer:

The ratio is (π) : (4 - π) or 11 : 3

Step-by-step explanation:

Area of a rectangle is 2r × 3r = 6r² ....... (1)

Area of a circle is ( π r² )

Area of semi-circle is ( π r² )/2

Area of the shaded portions ( π r² ) + ( π r² )/2 = 1.5( π r² ) ......... (2)

Area of the unshaded portions is (1) - (2)

6r² - 1.5πr² = 1.5r²(4 - π)

$\frac{1.5\pi r^2 }{1.5r^2(4-\pi) }$ = $\frac{\pi }{4-\pi }$

The ratio is (π) : (4 - π) or 11 : 3

If π ≈ $\frac{22}{7}$ , then $\frac{22}{7}$ ÷ ( 4 - $\frac{22}{7}$ ) = $\frac{11}{3}$