Answer:
[tex]area = 56.25\pi[/tex]
[tex]circumference = 15\pi[/tex]
Step-by-step explanation:
To find the area the formula for area of a circle can be used:
[tex]a = {\pi}r^{2} [/tex]
However we aren't given r, which stands for the radius. However we have diameter, which is just 2 times r. If we use this knowledge we can know that:
[tex]r = \frac{diameter}{2} = \frac{15}{2} = 7.5[/tex]
Now we can plug in r into the area formula to find the area.
[tex]a = {\pi}r^{2} = \pi{7.5}^{2} = 56.25\pi \: cm^{2} [/tex]
For diameter the formula is:
[tex]c = {\pi}d[/tex]
So plugging in diameter we get:
[tex]c = {\pi}d = {\pi}15 = 15{\pi} \: cm^{2} [/tex]
