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3 years ago

Suppose the radius of a circle is 8 units. what is its circumference

Mathematics

1 answer:

klio [65]3 years ago

6 0

Answer:

$\large\boxed{C=16\pi\approx50.24}$

Step-by-step explanation:

The formula of a circumference of a circle:

$C=2\pi r$

r - radius

We have <em>r = 8</em>. Substitute:

$C=2\pi(8)=16\pi$

$\pi\approx3.14\to C\approx(16)(3.14)=50.24$

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Anyone have the answer for this

sergiy2304 [10]

$\huge\bold{Given:}$

Length of the base = 16 km.

Length of the hypotenuse = 34 km. $\huge\bold{To\:find:}$

✎ The length of the missing leg '' $a$ ".

$\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}$

The length of the missing leg "a" is $\boxed{30\:km}$ .

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

Using Pythagoras theorem, we have

$({perpendicular})^{2} + ({base})^{2} = ({hypotenuse})^{2} \\ ⇢ {a}^{2} + ({16 \: km})^{2} = ({34 \: km})^{2} \\ ⇢ {a}^{2} + 256 \: {km}^{2} = 1156 \: {km}^{2} \\ ⇢ {a}^{2} = 1156 \: {km}^{2} - 256 \: {km}^{2} \\ ⇢ {a}^{2} = 900 \: {km}^{2} \\ ⇢a \: = \sqrt{900 \: {km}^{2} } \\ ⇢a = \sqrt{30 \times 30 \: {km}^{2} } \\ ⇢a = 30 \: km$

$\sf\blue{Therefore,\:the\:length\:of\:the\:missing\:leg\:"a"\:is\:30\:km.}$

$\huge\bold{To\:verify :}$

$( {30 \: km})^{2} + ({16 \: km})^{2} =( {34 \: km})^{2} \\ ⇝900 \: {km}^{2} + 256 \: {km}^{2} = 1156 \: {km}^{2} \\⇝1156 \: {km}^{2} = 1156 \: {km}^{2} \\ ⇝L.H.S.=R. H. S$

Hence verified. ✔

$\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘$

7 0

2 years ago

Can someone help me please?

Shtirlitz [24]

The image isn’t loading for me , try reuploading

8 0

3 years ago

Model 2.4 divided by 8

spin [16.1K]

2.4 ÷ 8= 0.3
The decimal stays the same.

Hoped this helped.

~Bob Ross®

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3 years ago

These are the first six terms of a sequence with a = 2:

inn [45]

Answer:

$a_{n}$ = 9 $a_{n-1}$

Step-by-step explanation:

Note there is a common ratio r between consecutive terms of the sequence, that is

r = 18 ÷ 2 = 162 ÷ 18 = 1458 ÷ 162 = 13122 ÷ 1458 = 9

A recursive formula allows a term in the sequence to be found by multiplying the previous term by the common ratio, that is

$a_{n}$ = 9 $a_{n-1}$ with a₁ = 2

7 0

3 years ago

HELP MEH PLEASEEE

algol13

Answer: -6(n - 3) = 18, n = 0

Step-by-step explanation:

The equation "The difference between a number and three is multiplied by negative six. The result is eighteen." can be expressed as -6(n - 3) = 18. To find n, you solve algebraically to get n = 0.

I hope this helps!

6 0

2 years ago

Suppose the radius of a circle is 8 units. what is its circumference​

Suppose the radius of a circle is 8 units. what is its circumference