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Find the area of the shaded region.(Diagram Cant Copy)

$540 \pi m^{2}$

Geometry

Chapter 11

Circumference, Area, and Volume

Section 2

Areas of Circles and Sectors

Area and Perimeter

Surface Area

Volume

Circles

Johns Hopkins University

Cairn University

Boston College

Lectures

12:03

In mathematics, a theorem …

07:43

In mathematics, the tangen…

02:35

Find the area of the shade…

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07:35

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Determine the area of the …

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01:43

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00:24

Okay, So the simple strategy for finding the area of shaded regions that are, um, they have a whole and then we'll say, is to just find just pretend that it's a filled in circle and find the area of, like, this circle right, the whole thing, and then pretend there's the hole in it. Later, just calculate the area of the whole and then just subtract that off. So let's do that. We know that the area of a circle is equal to high times. The radius squared, right, squared for the big circle that is a radius of 24 meters, so that's high times 24 squared meters. So the area of the big circle is 576 meters. Sorry, 507 6 py meters squared now have to find the area of a small circle, so we follow the same process. But let's just jump off at this equation here, right? So we know we have area equals pi times the radius squared. However, this radius of the inner circle is only six meters, so this is area equals pie times six meters quantity squared work. It's bad square. They were Elizabeth. Sure All right. Six squares. 36. So this is 36. Hi. Meter square. Okay, so now we just have to see practice to So we just have this, um 5 76 py meters squared, minus 36 year squared. Mom. So after we do that subtraction 5 76 minus 36 is 5 40 py meters squared. Um, and that's the shade original. Right? So that's just this part of it.

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