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3 years ago

PLEASE HELPPP

Mathematics

1 answer:

lianna [129]3 years ago

4 0

Answer:

56.52 cm

Step-by-step explanation:

To find the circumfrence use this formula-> C=2πr

The Radius is 9 (and I'm assuming to use 3.14 for pi since it doesn't state whether to use 22/7 or 3.14)

$C= 2$\cdot$ 3.14 $\cdot$ 9$

C= 56.52 cm

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Read 2 more answers

Can you help me please, please answer seriously, no links please

Talja [164]

Answer:

Centre: $(\frac{1}{2} ,2)$

Radius = $2$

Step-by-step explanation:

General formula for a circle: $(x-a)^2+(y-b)^2=r^2$ , where $r=$ the radius of the circle and $(a,b)$ is the centre of the circle.

To find the centre and radius of the circle we should re-write the given equation in the form of the general formula.

So, put the terms with the same variables together:

$4x^2-4x+4y^2+16y+1=0$

We can see that there is a common factor of $4$ , so let's simplify by dividing by $4$ :

$x^2-x+y^2+4y+\frac{1}{4} =0$

Here we can get it into the general formula by completing the square.

We do this by turning a quadratic with form $ax^2+bx+c=0$ into the form $(x-d)^2-e+c=0$ , where d is half of the coefficient of $x$ , e is $d^2$ and c is the constant of the quadratic.

So let's re-write the equation of the circle:

$(x-\frac{1}{2} )^2-\frac{1}{4} +(y-2)^2-4+\frac{1}{4} =0$

Simplify: $(x-\frac{1}{2} )^2 +(y-2)^2-4} =0$

Now we can see that it's very similar to the general equation and all we have to do is bring the $4$ over to the right side.

$(x-\frac{1}{2} )^2 +(y-2)^2} =4$

So, now we can find the radius and centre.

$(a,b) = (\frac{1}{2} ,2)$

$r^2=4, r=2$

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