This exercise involves the formula for the area of a circular sector. the area of a sector of a circle with a central angle of 2π/11 rad is 25 m2. find the radius of the circle. (round your answer to one decimal place.)

radius = 9.4 metros

Explanation:

The area of a circle is all space inside a circle´s circumference.  

you know that the area enclosed by a circle of radio r is πr^2 and its central angle is 2π rad or 360°.

Now, from the statement, you know that for a central angle of 2π/11 rad the area of a sector of a circle is 25 m^2.  

With this information, you can do a simple rule of three:

The previous is a direct proportion, thus, we apply the fundamental rule of proportions doing cross multiply:

cant without the picture! ?