Question

The radii of two circles are 14 cm and 28 cm. If π = `22/7` the area of the shaded portion is ______.

Options

• 1848 cm²

• 1644 cm²

• 486 cm²

• 702 cm²

Answer 1

The radii of two circles are 14 cm and 28 cm. If π = `22/7` the area of the shaded portion is 1848 cm².

Explanation:

The shaded area is the difference between the area of the larger circle (radius R = 28 cm) and the smaller inner circle (radius r = 14 cm).

\[\text{Shaded Area} = \pi R^2 - \pi r^2 = \frac{22}{7} (28^2 - 14^2) = \frac{22}{7} (784 - 196) = \frac{22}{7} \times 588 = 1848\text{ cm}^2\]