The diagram below shows two small circles inside a large circle. The large circle has a radius of 8 cm while each of the small circles has a diameter of 4 cm.Calculate area of the shaded region.
A: 150.79
B: 188.49
C: 176
D: 201.06
To find the area of the shaded region, we have to add the area of the two inner circles and less their area from the area of the bigger circle.
using the formulae A = πr²
Area of the Bigger circle
A = πr²
A = (22/7) × 8²
= 201.14 cm²
Area of one small circle
A = πr²
A = (22/7)×2² (since the diameter is 4, we divide by two to get the radius)
= 12.57 cm²
since the circles are the same in radius, we multiply by 2 to get the area of the two inner circles altogether
Total area = 12.57 cm² * 2 = 25.14 cm²
Area of shaded region, we will subtract our findings of the small circles from the area of the bigger circle.
Area of shaded = 201.14 cm² - 25.14 cm²
A = 176cm²
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