Acircle with radius of 3cm sits inside a circle with radius of 5cm. what is the area of the shaded region? round your final answer to the nearest hundredth.

50.27 cm²

Step-by-step explanation:

Subtract the area of the smaller circle from the area of the larger circle

The area of a circle = πr² ( r is the radius )

area = π × 5² - π × 3² = 25π - 9π = 16π ≈ 50.27 cm² ( nearest hundredth )

Area of the colored section = 50.29 cm²

Step-by-step explanation: .

The picture below illustrate the how the smaller circle sit inside the bigger circle. The colored region is the what we are after . The area of the colored region is the subtraction of the area of the smaller circle from the bigger circle.

Area of circle = πr²

Area of the inside circle = π ×3²

Area of the inside circle = 9π

Area of the outer circle = πr²

Area of the outer circle = π × 5²

Area of the outer circle = 25π

Area of the colored section = 25π - 9π

Area of the colored section = 16 × 22/7

Area of the colored section = 352/7

Area of the colored section = 50.28571429

Area of the colored section = 50.29 cm²