Question

How do you find diameter, radius, and area of a circle if the circumference is 43.96?

Answer 1

In this problem, we are to find the diameter, radius and area of a given circle. First, we will try to find the radius from the given values in the question. After we find the radius, we are to use the formulas of the diameter and area from the radius. Thus, we find the values and answers we need.

Complete step by step solution:
According to the question, we are here to find the diameter, radius and area of a given circle with the circumference 43.96.
Now, from the formula of the circumference of the circle, we have,
Circumference of the circle = $2\pi r$ , where r is the given radius of the circle.
So, we can see, $2\pi r=43.96$
From this equation, we have to try to find the radius of the circle.
We can consider the value of pi to be 3.14.
Now, putting the value in the equation, we have now,
$\Rightarrow 2\times 3.14\times r=43.96$
From which, if we change the sides by division, we are getting,
$r=\dfrac{43.96}{2\times 3.14}=7\,$
So, we have our radius as 7 units.
Again, the formula of the diameter tells us, diameter = 2r = $2\times 7$ =14 units.
And, the formula of the area tells us, area = $\pi {{r}^{2}}$ square units
We have the value of r as 7 units.
So, the area of the circle gives us, area = $\pi \times {{7}^{2}}=49\pi$square units.
Putting the value of $\pi =3.14$ we are getting,
The area of the circle is,$49\times 3.14=153.86$ square units.

Note: In this problem, we have used the formulas of the circle to get our solution. The length between any point on the circle and its center is known as its radius. Any line that passes through the center of the circle and connects two points of the circle is known as the diameter of the circle. Radius is half the length of a diameter of the circle. Area of the circle describes the amount of space covered by the circle and the length of the boundary of the circle is known as its circumference.