Find the area of a circle with a diameter of 56 millimeters.

784π mm²

Step-by-step explanation: To find the area of a circle, start with the formula for the area of a circle which is shown below.

Area = πr²

Notice that here, we're given the diameter instead of the radius.

Remember that the radius is equal to half of the diameter. So the radius of this circle will be equal to half 56 millimeters or 28 millimeters.

So plugging into the formula, we have (π)(28 mm)².

A common mistake is to plug 56 millimeters into the formula but remember that we must plug in the radius and not the diameter.

Multiplying, (28 mm)² is equal to (28 mm)(28 mm) or 784 mm².

So we have 784π mm².

So the area of the circle is 784π mm².

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week

150

step-by-step explanation:

(sorry i'm not typing it again just read the other two explanation sections i just typed it'll be the same.)