All categories

2 years ago

The diameter of a circle is 9 cm. What is the area of the circle? Use 3.14 for Pi

Mathematics

2 answers:

Tema [17]2 years ago

7 0

<span>the area of the circle :

r = 9\2

so :

S= r</span>² * Pi = (9\2)² * 3.14 = 63.58 cm²

Sergeeva-Olga [200]2 years ago

6 0

The area of a circle is the product of pi and the square of its radius. It is expressed as:

Area = pi x r^2 where r = d/2

We calculate as follows:
Area = pi x r^2
Area = pi x (d/2)^2
Area = pi x (d^2 / 4)
Area = 3.14 x (9^2 / 4)
Area = 63.59 cm^2

Hope this answers the question. Have a nice day.

You might be interested in

An Airliner has a capacity for 300 passengers. If the company overbook a flight with 320 passengers, What is the probability tha

TEA [102]

Answer:

The probability is $P(X >300 ) = 0.97219$

Step-by-step explanation:

From the question we are told that

The capacity of an Airliner is k = 300 passengers

The sample size n = 320 passengers

The probability the a randomly selected passenger shows up on to the airport

$p = 0.96$

Generally the mean is mathematically represented as

$\mu = n* p$

=> $\mu = 320 * 0.96$

=> $\mu = 307.2$

Generally the standard deviation is

$\sigma = \sqrt{n * p * (1 -p ) }$

=> $\sigma = \sqrt{320 * 0.96 * (1 -0.96 ) }$

=> $\sigma =3.50$

Applying Normal approximation of binomial distribution

Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as

$P(X > k ) = P( \frac{ X -\mu }{\sigma } > \frac{k - \mu}{\sigma } )$

Here $\frac{ X -\mu }{\sigma } =Z (The \ standardized \ value \ of \ X )$

=> $P(X >300 ) = P(Z > \frac{300 - 307.2}{3.50} )$

Now applying continuity correction we have

$P(X >300 ) = P(Z > \frac{[300+0.5] - 307.2}{3.50} )$

=> $P(X >300 ) = P(Z > \frac{[300.5] - 307.2}{3.50} )$

=> $P(X >300 ) = P(Z > -1.914 )$

From the z-table

$P(Z > -1.914 ) = 0.97219$

$P(X >300 ) = 0.97219$

8 0

2 years ago

A lab technician cuts a 15 in piece of glass tubing into two pieces. One piece is 7 in longer than the other. How long are the

zysi [14]

Answer:

2.1 in

Step-by-step explanation:

I only wrote the expression 7n = 15. Then figured it out from there. I ended up with n = 2.1

I'm sorry if this doesn't help. I tried my best to solve it. Hope this leads you to the right answer ^^

8 0

1 year ago

For what value of p will the pair of linear equations have infinitely many solutions (p-3)x + 3y = p , px+ py = 12

sleet_krkn [62]

Answer: p = 6

Step-by-step explanation:

HI !

px + 3y - ( p-3)=0

a₁ = p , b₁ = 3 , c₁ = - (p-3)

=====================

12x + py - p=0

a₂ = 12 , b₂ = p , c₂ = -p

since , the equations have infinite solutions ,

a₁/a₂ = b₁/b₂ = c₁/c₂

p/12 = 3/p = p-3/p

--------------------------------------

p/12 = 3/p

cross multiply ,

p² = 36

p = √36

p = 6

for the value of p = 6 , the equations will have infinitely many solutions

5 0

2 years ago

Is the relation a function? Why or why not?<br><br> {(–3, –2), (–1, 0), (1, 0), (5, –2)}

tankabanditka [31]

Answer:

yes, the given relation is a function.

Step-by-step explanation:

The given relation is

{(–3, –2), (–1, 0), (1, 0), (5, –2)}

A relation is called function if each element of the domain is paired with exactly one element of the range.

It means for each value of x there exist a unique value of y.

In the given relation for each value of x there exist a unique value of y.

Therefore the required solution is yes and this relation is a function.

5 0

3 years ago

Given f(x) = –2 – 4, find f(4).

harkovskaia [24]

Answer:

-6

Step-by-step explanation: 6 6 15 40

f(x) = –2 – 4, find f(4)

since there is NO x term in the function for ANY x

f(4) = –2 – 4 = -6

f(any x) = –2 – 4, find f(-∞ = x = ∞)

= -6

3 0

2 years ago