Answer:
56.52mm²
Step-by-step explanation:
Based on observation, sum of diameters of small circles = diameter of the big circle.
In question, diameter of big circle = 12 mm.
And radius of big circle = 12mm/2 = 6mm
Let the diameter of each small circle be '2a'. So, radius of each small = 2a/2 = a.
=> 2a + 2a = 12mm
=> 4a = 12mm
=> a = 3mm
=> radius of each small circle = 3mm
Area of big circle = πr²
= (3.14)(6mm)²
= 113.04 mm²
Area covered by 2 small circles is: 2 * area of 1 one circle.
=> 2 * π(3mm)² = 18π mm²
=> 56.52 mm²
Shaded area = total area - area of 2 circles = 113.04 - 56.52 mm² = 56.52 mm²
