A circle has a radius of 8. Find the area of a sector of this circle that is intercepted by central angle measuring pi over 7

14.4 square units

Step-by-step explanation:

Keep in mind that the area here is a fraction of the area of a full circle of radius 8.

(area of sector) = (fraction)(pi)(8)^2

The fraction is the given central angle (pi over 7) divided by 2pi:

       pi            1

    * = 1/14

     7             2pi

Multiply the formula     (fraction)(pi)(8)^2     found above by this fraction:

area of sector = (1/14)(pi)(8)^2  =  14.4 square units

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'.

step-by-step explanation: