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I NEED FAST AND QUICK PLEASEE

A circle with radius of

4


cm

4cmstart color #1fab54, 4, start text, c, m, end text, end color #1fab54 sits inside a circle with radius of

11


cm

11cmstart color #11accd, 11, start text, c, m, end text, end color #11accd.

What is the area of the shaded region?

Round your final answer to the nearest hundredth.

I NEED FAST AND QUICK PLEASEE A circle with radius of 4 cm 4cmstart color #1fab54, 4, start-example-1

1 Answer

3 votes

Answer:

329.87 cm²

Explanation:

Find the two areas and subtract the smaller one from the larger one.

Radius units are in cm. Area units are in cm².

Larger circle's area:

A = πr² = π × 11² = 121π

Smaller circle's area:

a = πr² = π × 4² = 16π

Difference in areas:

A - a = 121π - 16π = 105π

shaded area = 105π = 105 × 3.14159 = 329.87

Answer: 329.87 cm²

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