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2 years ago

11

The circumference of a circle is 20m. What is the area, in square meters?

1 answer:

Mamont248 [21]2 years ago

8 0

Answer:

c = 62.83185

a = 314.15927 m²

Step-by-step explanation:

Hey There!

So first thing that we want to do is find the formula for the circumference

$C=2\pi r$

where r = radius

we are given the diameter which we can easily convert to radius by dividing by 2

20/2=10

so the radius is 10

now we plug in

$C=2\pi 10\\C=62.83185$

So the circumference is equal to 62.83185 m ²

Now to find the area we use the formula

$A = \pi r^2$ $10^2=100\\100\pi =314.15927$

so we can conclude that the area of the circle is 314.15927

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Given: The hypotenuse of a right triangle has endpoints A(4, 1) and B(–1, –2).

To find: coordinates of vertex of the right angle

Solution:

Let C be point $(x,y)$

Distance between points $(x_1,y_1),(x_2,y_2)$ is given by $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

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$34=\left [ (x-4)^2+(y-1)^2 \right ]+\left [ (x+1)^2+(y+2)^2 \right ]$

Put $(x,y)=(-1,1)$

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which is true. So, $(4,-2)$ can be a vertex

Put $(x,y)=(1,1)$

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which is not true. So, $(-1,4)$ cannot be a vertex

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