answer
![25\pi {ft}^{2}](/tex.php?f=25\pi {ft}^{2} )
explanation
the area of a circle is calculated using the formula
![area =\pi {r}^{2}](/tex.php?f=area =\pi {r}^{2} )
or
![area = \frac{\pi \: {d}^{2} }{4}](/tex.php?f=area = \frac{\pi \: {d}^{2} }{4} )
we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is
![d = 10ft](/tex.php?f=d = 10ft)
we substitute the diameter into the formula to get:
![area = \frac{\pi \: \times {10}^{2} }{4}](/tex.php?f=area = \frac{\pi \: \times {10}^{2} }{4} )
![area = \frac{100\pi}{4}](/tex.php?f=area = \frac{100\pi}{4} )
![area = 25\pi {ft}^{2}](/tex.php?f=area = 25\pi {ft}^{2} )
this is the exact value for the area of the circle.
the correct answer is a
![1. 25pi ft^2 2. 5pi ft^2 3. 10pi ft^2 3. 20pi ft^2](/tpl/images/05/03/tNr26aRJB4pNsvGG.jpg)