the radius of a circle with an area of a circle with an area of 60 square centimeters is represented by the expression sqrt 60/x
centimeters. what is another way of expressing the radius?
1 answer:
Answer:
![\dfrac{2\sqrt{15\pi}}{\pi}](https://tex.z-dn.net/?f=%5Cdfrac%7B2%5Csqrt%7B15%5Cpi%7D%7D%7B%5Cpi%7D)
Step-by-step explanation:
![\displaystyle\sqrt{\frac{60}{\pi}}=\sqrt{\frac{4\cdot 15\pi}{\pi^2}}=\frac{2}{\pi}\sqrt{15\pi}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csqrt%7B%5Cfrac%7B60%7D%7B%5Cpi%7D%7D%3D%5Csqrt%7B%5Cfrac%7B4%5Ccdot%2015%5Cpi%7D%7B%5Cpi%5E2%7D%7D%3D%5Cfrac%7B2%7D%7B%5Cpi%7D%5Csqrt%7B15%5Cpi%7D)
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