Question

Show the work please

Answer 1

Answer:

a) r = 7in

b) d = 30cm

Step-by-step explanation:

A = $\pi$*$r^{2}$

A = area of a circle

r = radius

a)A = $\pi$*$r^{2}$

we divide by $\pi$ both sides of the equations

$\frac{A}{\pi }$ =$r^{2}$

lets apply square root to both sides of equality sign:

$\sqrt{r^{2}} =\sqrt{\frac{A}{\pi}}$

so we have:

$r=\sqrt{\frac{A}{\pi}}$

$r=\sqrt{\frac{49\pi}{\pi}}$

r=7 in

b)d= diameter

r=radius

d=2*r

$r=\sqrt{\frac{A}{\pi}}$

$r=\sqrt{\frac{225\pi}{\pi}}$

r=15 cm

so we have:

d=2*15cm= 30cm