To find the area of the shaded region between the two circles, we'll first calculate the area of the larger circle and then subtract the area of the smaller circle.
-
Area of the larger circle (radius = 10 cm): \[ \text{Area} = \pi r^2 = 3.14 \cdot (10^2) = 3.14 \cdot 100 = 314 \text{ cm}^2 \]
-
Area of the smaller circle (radius = 6 cm): \[ \text{Area} = \pi r^2 = 3.14 \cdot (6^2) = 3.14 \cdot 36 = 113.04 \text{ cm}^2 \]
-
Area of the shaded region: \[ \text{Area of shaded region} = \text{Area of larger circle} - \text{Area of smaller circle} \] \[ = 314 - 113.04 = 200.96 \text{ cm}^2 \]
Rounding to the nearest tenth: \[ \text{Area of shaded region} \approx 201.0 \text{ cm}^2 \]
Therefore, the answer is B 201.0 cm.
2 answers