A circle with radius of 3 cm sits inside a circle with radius of 11 cm.
Sum
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
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The area of the shaded region is 351.68cm²

Step-by-step explanation:

To solve this problem we need calculate both areas of the circles

To solve this problem we need to use the area formula of a circle:

a1 = area

r = radius = 3cm

π = 3.14

a1 = π * r²

we replace with the known values

a1 = 3.14 * (3cm)²

a1 = 3.14 * 9cm²

a1 = 28.26 cm²

The area of the smaller circle is 28.26 cm²

a2 = area

r = radius = 11cm

π = 3.14

a2 = π * r²

a2 = π * r²

we replace with the known values

a2 = 3.14 * (11cm)²

a2 = 3.14 * 121cm²

a2 = 379.94 cm²

The area of the bigger circle is 379.94 cm²

we subtract the smallest circle from the biggest

379.94 cm²  - 28.26 cm²  = 351.68cm²

The area of the shaded region is 351.68cm²

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