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

86

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

University of Michigan - Ann Arbor

Lectures

12:03

In mathematics, a theorem …

07:43

In mathematics, the tangen…

02:40

Find the area of the shade…

03:09

07:35

03:41

00:21

Determine the area of the …

01:32

01:43

00:19

00:24

Okay? Never. 24 b of the square inside that square are four circles. We're supposed to be touching each other, but I didn't draw very well. You're trying to find the area that is right here. Basically, in the middle of all, for those circles, we know that each side of the square is 20 inches. That means that if we draw from here from this side to this side, the diameter of each one of those circles is gonna be 10 inches. That means that the radius of each circle, if the diameter equals 10 inches, the radius is gonna equal five inches. We know that the area of a circle is equal to pi r squared so we can substitute in the so the area of one circle is going to equal the pie five square. You calculate that out, and that's gonna be 25 pie, all four circles and for areas well equal four times the 25 pie which is gonna equal to 100 pie. You know, the area of ah square is going to be 2020 times 20 which is 400. So if we take the area of the square which is the 400. Subtract the area of the four circles, which is 100 pie. We're gonna come up with 300 pie, which is approximately equal to 85.84 square feet.

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