Answer:
24.5672 cm² (answer rounded up to four decimal places)
Step-by-step explanation:
The area of the shaded region = The area of the circle with a diameter of 6.4 cm - the area of the two circles with diameters of 2.2 cm each
The area of the circle with a 6.4 cm diameter is:
Area(A) = π × r²
The radius here is [tex]\frac{6.4 cm}{2}[/tex] = 3.2 cm
A = π × 3.2² = 32.1699087728 cm² or 32.1699 cm² (rounded up to four decimal places)
The area of the the circles with diameters of 2.2 cm each is:
Area(A) = π × r²
But because the circles are two, the area will be;
A = 2 × π × R²
The radius here is 2.2 cm ÷ 2 = 1.1 cm
A = 2 × π × 1.1² = 7.60265422169 cm² or 7.6027 cm² (rounded up to four decimal places)
The area of the shaded region = 32.1699 cm² - 7.6027 cm² = 24.5672 cm²
