Circle<span> is the locus of points equidistant from a given point, the center of the </span>circle<span>. The common distance from the center of the </span>circle<span> to its points is called radius. Thus a </span>circle<span> is completely </span>defined<span> by its center (O) and radius (R): C(O, R) = O(R) = {x: dist(O, x) = R}.
Easier explanation: </span><span>A </span>circle<span> is a plane figure contained by one line such that all the straight lines falling upon it from one point among those lying within the figure are equal to one another.</span>
Answer:

Step-by-step explanation:
The formula of a surface area of a sphere:

R - radius
We have

Substitute and solve for R:
<em>divide both sides by π</em>
<em>divide both sides by 4</em>

The formula of a volume of a sphere:

Substitute:

I’m so sorry I would try my best to answer but I can’t :(
Let

and

be the sides of the rectangle. The perimeter is given to be 500m, so we are maximizing the area function

subject to the constraint

.
From the constraint, we find

so we can write the area function independently of

:

Differentiating and setting equal to zero, we find one critical point:

which means

, so in fact the largest area is achieved with a square fence that surrounds an area of

.
The value of x is 47.
The angles of a triangle equal 180 degrees. You’re given two angles with the vale’s 83 degrees and 50 degrees. To find the remaining angle subtract the two angles from 180.
180 - 83 - 50 = 47.