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Mathematics 19 Online
OpenStudy (anonymous):

What is the area of a circle with a diameter that is 20 inches long?

OpenStudy (mathstudent55):

The area of a circle is A = (pi) * r^2 The area is pi times the radius squared. You have the diameter; do you know how to get the radius form the diameter?

OpenStudy (anonymous):

isn't that half of the other?

OpenStudy (mathstudent55):

Yes, the radius is half of the diameter. What is the radius?

OpenStudy (anonymous):

um.... idk

OpenStudy (anonymous):

A=πr2 d=2r Solving forA A=1 4πd2=1 4·π·202≈314.15927in²

OpenStudy (anonymous):

Was it helpful?

OpenStudy (mathstudent55):

The diameter is 20 inches. The radius is half of the diameter. What is the radius? The radius is half of 20 inches. What is half of 20 inches?

OpenStudy (anonymous):

10 inches

OpenStudy (mathstudent55):

@FROST_ZERO Why do you write the area = 1? We don't know what the area is. We are trying to find it.

OpenStudy (mathstudent55):

@sws_pvt Correct. The radius is 10 inches. Now we can find the area of the circle. To find the area of a circle multiply the radius by the radius by pi. For pi you can use the approximation 3.14.

OpenStudy (anonymous):

Oh, Sorry

OpenStudy (mathstudent55):

A = 10 * 10 * 3.14

OpenStudy (anonymous):

314

OpenStudy (mathstudent55):

Correct.

OpenStudy (mathstudent55):

The answer is 314 square inches.

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