Find the radius of a circle with an area of 562 in2. Round your answer to the nearest
inch.

If the area of a circle is 562 in², then the radius of the circle is about 13 inches long.

Step-by-step explanation:

≈

13 inches

Step-by-step explanation:

The area of a circle is given by the equation A = πr²

To solve for r, we must first divide both sides by π to get

We must then take the square root of both sides to get r by itself

Doing so, we get

Now plugging in our values that we have we can solve for r:

and rounding to the nearest inch gives us 13 inches

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.