Question

find the value of x of the given figure, whose area is given as a = 47.7594. use 3.14 as an approximation for π. the value of x is (type an integer or a decimal.)

Explanation:

Step1: Recall area formula

The area formula of a circle is $A = \pi r^{2}$. Here $A = 47.7594$ and $\pi\approx3.14$.

Step2: Substitute values

We have $47.7594=3.14r^{2}$.

Step3: Solve for $r^{2}$

Divide both sides by 3.14: $r^{2}=\frac{47.7594}{3.14}=15.21$.

Step4: Solve for $r$

Take the square - root of both sides. Since $r>0$, $r=\sqrt{15.21} = 3.9$. Here $x$ represents the radius of the circle, so $x = 3.9$.

Answer:

$3.9$