Integral of a Quarter Circle

[Hckyplayer8]

I plotted the function which results in a quarter circle.

If area of a circle is pi(r²) then is the area of a quarter circle pi(r²) * 1/4?

 

[Dr.Peterson]

Of course. A quarter of a circle is a quarter of a circle.

So the answer is ...?

 

[Steven G]

Yes and no. If you think that the final answer if pi*r^2*1/4 then no you are not correct. If you want to use that formula then you are correct.

What is the radius of your 1/4 circle?

 

[Hckyplayer8]

Sweet! I would take pi * 4² = 50.26548 then multiply that by .25 results in the final answer of 12.56637.

 

[Steven G]

Sweet! I would take pi * 4² = 50.26548 then multiply that by .25 results in the final answer of 12.56637.

Why not $\displaystyle pi*\frac{4^2}{4} =4 \pi$

 

[Hckyplayer8]

Why not $\displaystyle pi*\frac{4^2}{4} =4 \pi$

Yeah, your way was much easier.

 

[Hckyplayer8]

Thanks for the help!