Find the circumference of the circle.

Mathematics

2 answers:

pashok25 [27]3 years ago

6 0

$HOLLA !$

As we know the CIRCUMFERENCE:- 2πr

Here r belongs to radius which is equals to = diameter/ 2

Here in the given picture the diameter is 14 so the radius will be 7 .

Now CIRCUMFERENCE = 2× π × 7
= 14π

But we habe to findonly the number which is suitable for the given box so there will be 14 in the box

So 14 is the correct answer .

HOPE IT HELPED YOU.

DaniilM [7]3 years ago

5 0

Use this formula: C=2πr. Divide 14/2 to get the radius. Substitute the radius into the formula.

The answer is 14pi units.

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Work Shown:

The notation "g o f" means g(f(x)). We have f(x) as the inner function that is computed first.

f(x) = { (1,2), (3,5), (4,1) }

The x coordinates of each point are: 1, 3, 4

The y coordinates are: 2, 5, 1

So the input x = 1 goes to y = 2 as the output. That output becomes the input of the g(x) function. Using x = 2 as the input for g, we see that 3 is the output. Check out the diagram below to see how each input goes into f, then goes into g to ultimately determine the x,y pairs. So far we've shown that x = 1 ultimately leads to y = 3.

Let's do another input: if x = 3 is plugged into f(x), then the output is 5 because of the point (3,5). Then x = 5 is plugged into g(x) to get x = 5 lead to y = 1. Ultimately x = 3 leads to y = 1 giving us (3,1) as another point.

Lastly, if x = 4 is plugged into f we get y = 1 as an output, which in turn is plugged into g to get 3 as the final output. The point (4,3) is the last ordered pair.

Again there's a lot to keep track of, so it helps to have a diagram as shown below.