Find the radius of a circle with area equal to 153.86 square feet.

R = ?

7 feet

Step-by-step explanation:

The area of a circle can be found using:

a=3.14*r^2

We know that the area is 153.86 square feet, so we can substitute 153.86 in for a.

153.86=3.14*r^2

Now, we have to solve for r. To do this, we need to get r by itself. First, divide both sides by 3.14

153.86/3.14=3.14*r^2/3.14

153.86/3.14=r^2

49=r^2

Now, r is being squared. The opposite of squared is the square root. So, take the square root of both sides.

√49=√r^2

√49=r

7=r

The radius is 7 feet

Our formula: A = π r2

The area, 'A', of the circle is 153.86 inches squared.

' π ' is pi, an irrational number with a value of approximately 3.14.

'r' is the radius, which is what we are solving for here.

Plugging in, we get:

153.86 = (3.14) r2