The figure is made up of a circle, a triangle and a square of sides 30 cm. The radius of the circle is 14 cm. The ratio of the area of the circle to the shaded area of the circle is 5 : 3. The ratio of the area of the square to the area of the triangle is 1 : 4. Given that ¹₄ of the square is shaded, what is the total area of the unshaded figure? (Take π = ²²₇)
Area of the square
= 30 x 30
= 900 cm²

Area of the circle
= ²²₇ x 14 x 14
= 616 cm²

Area of the circle : Shaded area of the circle : Unshaded area of the circle 
5 : 3 : 2

Area of the circle
= 5 u
= 616 cm²

1 u = 616 ÷ 14 = 44

Shaded area of the circle
= 3 u
= 3 x 44
= 132 cm²

Unshaded area of the circle
= 616 - 132
= 484 cm²

Area of the square : Area of the triangle
1 : 4

Area of the triangle
= 4 x 900
= 3600 cm²

Shaded area of the square : Area of the square 
1 : 4

Area of the shaded square
= 900 ÷ 4
= 225 cm²

Area of the unshaded square
= 900 - 225
= 675 cm²

Unshaded area of the triangle
= 3600 - 132 - 225
= 3243 cm²

Total area of the unshaded figure
= 3243 + 484 + 675
= 4402 cm²

Answer(s): 4402 cm²