Question

5. Find an expression to represent the area that is shaded
r

Answer 1

(4 - π)r²

= 0.86 r²

Explanation:

The radius of the circle = r

The diammeter of the circle = 2r

Area of circle = πr²

The side of the square = diammeter of the circle = 2r

The area of the square = (2r)² = 4r²

Area of shaded region = ar(square) - ar(circle)

= 4r² - πr²

= (4 - π)r²

= (4 - 3.14)r²

= 0.86 r²