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Allushta [10]
3 years ago
12

???? Help me please

Mathematics
1 answer:
Mama L [17]3 years ago
5 0

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 \frac{6.4 cm}{2} = 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

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