Question

Please, i need to answer this for tomorrow and i dont get it!

Answer 1

1.72r²

Explanation:

total Rectangle area = 4r*2r = 8r²

total circles area = 2(π r²) = 2*3.14*r² = 6.28r²

then:

the area of the shaded region:

= 8r² - 6.28r²

= (8-6.28)r²

= 1.72r²

Answer 2

2r²(4 - π)

Explanation:

The shaded area (A) is calculated as

A = area of rectangle - area of 2 circles

The rectangle has a length of 4r and a width of 2r , then

A = (4r × 2r) - (2πr²)

= 8r² - 2πr² ← factor out 2r² from each term

= 2r²(4 - π)