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The area of a circle is 171.4 in2. What isthis area in m2? 1 inch = 2.54 cm.Express your answer to the correct number ofsignificant figures....

Question

The area of a circle is 171.4 in2. What isthis area in m2? 1 inch = 2.54 cm.Express your answer to the correct number ofsignificant figures.

The area of a circle is 171.4 in2. What is this area in m2? 1 inch = 2.54 cm. Express your answer to the correct number of significant figures.



Answers

Express your answers to problems in this section to the correct number of significant figures and proper units. What is the area of a circle $3.102 \mathrm{cm}$ in diameter?

Hey, guys. So you have this problem here where were given the diameter of a circle and we need to find the area. So in order to his problem, you need to know what the formula for an area of circles it is. Hi. R squared pious. A constant are refers to the radius of a circle you have to square. So how do you find the radius? If we only know the damage, the diameter is just equals two times radius. So, um, to find the radius, we just divide the two sides diameter, divided about U equals radios. That means the radius do that. Raiding this equals. I put three point once or what you do print with you. I get it one point. All right. One centimeters as my radius. So now I can just plug in this for, um Yep. And you should have a high button your company plug it in and answer. I get after booking pie plucking and R and square it. That's seven. All right, five seven. And I would hurry utes Well, pious is a constant, so it kind of doesn't matter, but you're taking our which units is centimeters and you're squaring it. Something's areas. Units should be center meters squared. This should be your answer. Well, that helps

Hello. So here we have a circle with radius 45.8 cm. So the area of a circle is going to be just equal to pi times the radius of that circle squared. So here our area is going to be equal while pi times the radius is 45.8. So we have 45.8 Squared. We take 45.8, we square that and then multiply that by pi or approximately 3.14 to give us approximately 6590. So the area here is going to be approximately equal to 6590. And our units are going to be while we get centimeters time centimeter ourselves centimeters square.

We need to find the circumference of a circle that has an area equal to 100 pi centimeters square. So our area formula is equal to pi R squared. We have to use this first to find our radius, so our area is 100 pie is equal to pi R squared. We can cancel out our pies and sweets on both sides of the equations. We have 100 is equal to r squared. We take the square root of both sides, And we get 10 is equal to our radius. So now we find our circumference, so circumference is equal to two pi R. So circumference is going to be able to two pi times the 10. With that we got Source of conference is going to be 20 pie centimetres.

Find here on this problem. We're told that we have a circle whose area? There's 254.5 square inches. We want to know what's its radius Now? Your formula for area is pi r squared. So this means that pi r squared is able to to 54 0.5. And so now we just need to solve this equation for our and so to do that what's divide both sides by pie. We knew that because it'll just leave us with an R squared there on the left and on the right. You take 2 54.5 Delighted my pie. And that gives us 81.0. Now you have r squared. And so to get rid of that square, you need to take the support writable sides. This word of r squared is just are. And then the square root of 81 on that other side will give us night. And so that's our radius Should be nine


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