Subjects geometry

Area Quarter Circles

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Area Quarter Circles


1. The problem asks to calculate the area of the shape formed by two shaded quarter circles, each with radius 2 cm. 2. Each quarter circle has an area of \( \frac{1}{4} \pi r^2 \). 3. Substitute \( r = 2 \) cm into the formula: $$ \frac{1}{4} \pi (2)^2 = \frac{1}{4} \pi \times 4 = \pi \text{ cm}^2 $$ 4. Since there are two such quarter circles, the total area is: $$ 2 \times \pi = 2\pi \text{ cm}^2 $$ 5. Therefore, the area of the shape is \( 2\pi \) cm².