Answer:
A=200.96 in2
Step-by-step explanation:
A=PI x R2
A=3.14 x 8 in x 8 in
a=200.96 cm
T(d)= 2(d-1) + 30
T(6)= 2(6-1) + 30
= 40 mins
Ratios
Note A has a frequency of
fa=1,760 Hz
Note D has a period of 1,175 hertz
(the previous data should be frequency, not period)
We are required to find the ratio of A to D. Let's call it r:

Dividing: r = 1.4978. Rounding to two decimal places:
r = 1.50
Now to express the answer in integer ratio form, we need to simplify the fraction.
First, we divide by 5 up and down:

There are no more common divisors for both numbers, thus the integer ratio form is r = 352/235
let's firstly convert the mixed fractions to improper fractions, and then add.
![\bf \stackrel{mixed}{3\frac{1}{4}}\implies \cfrac{3\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{13}{4}}~\hfill \stackrel{mixed}{2\frac{5}{6}}\implies \cfrac{2\cdot 6+5}{6}\implies \stackrel{improper}{\cfrac{17}{6}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{13}{4}+\cfrac{17}{6}\implies \stackrel{\textit{we'll use the LCD of 12}}{\cfrac{(3)13~~+~~(2)17}{12}}\implies \cfrac{39+34}{12}\implies \cfrac{73}{12}\implies 6\frac{1}{12}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B3%5Cfrac%7B1%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B3%5Ccdot%204%2B1%7D%7B4%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B13%7D%7B4%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B5%7D%7B6%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%206%2B5%7D%7B6%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B17%7D%7B6%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20%5Ccfrac%7B13%7D%7B4%7D%2B%5Ccfrac%7B17%7D%7B6%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bwe%27ll%20use%20the%20LCD%20of%2012%7D%7D%7B%5Ccfrac%7B%283%2913~~%2B~~%282%2917%7D%7B12%7D%7D%5Cimplies%20%5Ccfrac%7B39%2B34%7D%7B12%7D%5Cimplies%20%5Ccfrac%7B73%7D%7B12%7D%5Cimplies%206%5Cfrac%7B1%7D%7B12%7D)