Question

Show the work please

Answer 1

a) r = 7in

b) d = 30cm

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

`(A)/(\pi )` =
`r^(2)`

lets apply square root to both sides of equality sign:

`\sqrt{r^(2)} =\sqrt{(A)/(\pi)}`

so we have:

`r=\sqrt{(A)/(\pi)}`

`r=\sqrt{(49\pi)/(\pi)}`

r=7 in

b)d= diameter

r=radius

d=2*r

`r=\sqrt{(A)/(\pi)}`

`r=\sqrt{(225\pi)/(\pi)}`

r=15 cm

so we have:

d=2*15cm= 30cm