Question

Find the area of the shaded region.

Answer 1

1. If we join another radius to the shaded area, we will notice that the triangle has all sides 4 units, making it an equilateral triangle.

2. Equilateral triangle has all angles 60°

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Area of 1 sector = 60/360 x π (4)² = 8.38 units²

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$\text {Area of equilateral triangle =} \dfrac{\sqrt{3}}{4} \text{(4)}^2 = 6.93 \text{ units}^2$

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Area of 1 shaded part = 8.38 - 6.93 = 1.45 units²

Area of all shaded part = 1.45 x 2 = 2.9 units²

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Answer: 2.9 units²