A candy maker createssmall chocolate wafers in the shape of one discs. The diameter the eachwafer is 16 millimeters. What is the area of every candy? so the candy, they to speak it'sthe form of circular discs. And also they tell us that thediameter of each wafer is 16 millimeters. If I draw a lineacross the circle that goes with thecenter, the size of the line every the means acrossthe circle with the facility is 16 millimeters. So let me compose that. So the diameter hereis 16 millimeters. And they want united state tofigure the end the area that the surface ar of thiscandy, or essentially, the area that this circle. And also so when wethink about area, we know that the areaof a one is same to pi times the radiusof the one squared. And also you say, well, theygave us the diameter. What is the radius? Well, you might remember theradius is 1/2 of the diameter. It's the distancefrom the center of the circle come the outside,to the boundary of the circle. For this reason it would bethis distance ideal over here, i m sorry is exactly1/2 that the diameter, so it would be 8 millimeters. So where we view the radius,we could put 8 millimeters. So the area is goingto be equal to pi time 8 millimeterssquared, which would certainly be 64 square millimeters. And typically, this iswritten with pi ~ the 64. Therefore you can oftensee it as this is same to 64 pimillimeters squared. Now this is the answer,64 pi millimeters squared. But sometimes, it's not sosatisfying to simply leave it as pi. You might say, well, I desire toget a estimate of what number this is near to. I want a decimalrepresentation of this. And also so, we could start touse approximate worths of pi. Therefore the most rough approximatevalue that tends to be offered is saying the pi, avery turbulent approximation, is same to 3.14. So in the case, wecould say the this is going come be same to 64times 3.14 millimeter squared. And we can obtain ourcalculator to number out what this will bein decimal form. So we have actually 64 times3.14, gives us 200.96. For this reason we can say that thearea is about equal to 200.96square millimeters. Currently if we want to get amore specific representation of this-- pi actuallyjust keeps going on and also on and onforever-- we could use the calculator'sinternal depiction of pi, in which case,we'll speak 64 times, and also then we need to look forthe pi in the calculator. It's up right here inthis yellow, therefore I'll perform this little 2nd function. Gain the pi there. Every calculator willbe a little different. Yet 64 times pi. And now we're walking touse the calculator's interior approximationof pi, i m sorry is going come be more precisethan what I had in the last one. And you acquire 201-- solet me put it over below so I have the right to write the down--so an ext precise is 201. And also I'll ring to the nearesthundreds, so you obtain 201.06.
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So much more precise is 201.06square millimeters. Therefore this is closer tothe yes, really answer, because a calculator'srepresentation is more precise than this veryrough approximation that what pi is.