All categories

2 years ago

The diameter of a circle is 4 inches. What is the area ? Give the exact answer in the simplest form.

Mathematics

2 answers:

Alona [7]2 years ago

7 0

Answer:

4π

Step-by-step explanation:

A(Circle) = πr²

r = d/2 = 4/2 = 2

A(Circle) = π(2)² = 4π

pychu [463]2 years ago

4 0

Answer:

50.27

Step-by-step explanation:

the formula the find the are of a cricle is A = pie r^2

pi · 4^2

You might be interested in

Is .21 (with only the one repeating) a rational number? please explain why! thanks!

Nostrana [21]

21 is a rational number because it is an integer, which can be converted into a fraction.

<u>Step-by-step explanation:</u>

When a denominater and numerator are integers and gives a quotient then it is a rational number.

21/1, where 21 is denominator and 1 is numerator the quotient is 21. Therefore 21 is a rational number which can also be considered as a ratio.

8 0

3 years ago

The triangles ABC and DFG are similar and the ratio of their corresponding sides is 6:5. The area of the triangle ABC is greater

Naya [18.7K]

Answer:

The Area of Δ DFG is 175 cm²

The Area of Δ ABC is 252 cm²

Step-by-step explanation:

Given as :

The Δ ABC is similar to the Δ DFG

The area of the triangle ABC is greater than the area of the triangle DFG by 77 cm²

Let The area of Δ DFG = x cm²

So, The area of Δ ABC = ( 77 + x ) cm²

The ratio of corresponding sides of Δ ABC and Δ DEF = 6 : 5

Let The side AB = 6 y

And The side DE = 5 y

Now,<u> from The property of similar Triangles</u>

$\dfrac{area ABC}{area DFG}$ = $\dfrac{AB^{2} }{DE^{2} }$

I.e $\dfrac{77+x}{x}$ = $\dfrac{(6 y)^{2} }{(5y)^{2} }$

Or, $\dfrac{77+x}{x}$ = $\dfrac{36}{25}$

Or, 25 × (77 + x ) = 36 x

Or, 25 × 77 + 25 x = 36 x

Or, 25 × 77 = 36 x - 25 x

Or, 11 x = 25 × 77

∴ x = $\frac{25\times 77}{11}$

I.e x = 175 cm²

So,The Area of Δ DFG = x = 175 cm²

And The Area of Δ ABC = x + 77 = 175 + 77 = 252 cm²

Hence, The Area of Δ DFG is 175 cm²

And The Area of Δ ABC is 252 cm² Answer

4 0

3 years ago

I dont want you to answer question for me, i have already answered it as shown in the picture. I want you to let me know if i ha

Mashutka [201]

Answer:

$\begin{equation}
\sqrt{3}-1,2 \sqrt{10} \div 5, \sqrt{14}, 3 \sqrt{2}, \sqrt{19}+1,6
\end{equation}$

Explanation:

Given the irrational numbers:

$3 \sqrt{2}, \sqrt{3}-1, \sqrt{19}+1,6$, $2 \sqrt{10} \div 5,\sqrt{14}$

In order to arrange the numbers from the least to the greatest, we convert each number into its decimal equivalent.

$\begin{gathered} 3\sqrt{2}=3\times1.414\approx4.242 \\ \sqrt{3}-1\approx1.732-1=0.732 \\ \sqrt{19}+1\approx4.3589+1=5.3589 \\ 6=6 \\ 2\sqrt{10}\div5=2(3.1623)\div5=1.2649 \\ \sqrt{14}=3.7147 \end{gathered}$

Finally, sort these numbers in ascending order..

$\begin{gathered} \sqrt{3}-1\approx1.732-1=0.732 \\ 2\sqrt{10}\div5=2(3.1623)\div5=1.2649 \\ \sqrt{14}=3.7147 \\ 3\sqrt{2}=3\times1.414\approx4.242 \\ \sqrt{19}+1\approx4.3589+1=5.3589 \\ 6=6 \end{gathered}$

The given numbers in ascending order is:

$\begin{equation}
\sqrt{3}-1,2 \sqrt{10} \div 5, \sqrt{14}, 3 \sqrt{2}, \sqrt{19}+1,6
\end{equation}$

Note: In your solution, you can make the conversion of each irrational begin on a new line.

8 0

1 year ago

$60.00 on sale for 25% off, what would be the sale price of the coat?

Pachacha [2.7K]

Answer:

The answer is $15.00

Explanation:

25% of 60 is 15, so your answer is $15.00

I hope this helps you :D

3 0

3 years ago

1. Which graph represents a relation that is not a function?

Artemon [7]

The second one doesn't represent a function, because for some values of "x", you get two different values for "y" (which should not happen, if that were a function).

In every function, you must have a single "y" value for each "x" in the domain.

__________

In order to see it better, you can trace a vertical line onto that graph.

If that line and the graph intersects in more than one point, then that graph doesn't represent a funcion.

Look into the attached picture and see. That vertical red line and the graph intersects in two distinct points. Therefore, it can't represent a function.

Any doubt? Please, comment below.

I hope it helps. :-)

3 0

3 years ago