Question

4) The diameter of a circle is 32m. The radius is represented by 4(x + 2).

Part A: Write an equation you can use to find the value of x.
Part B: What is the value of x?

Answer 1

The value of x is 2

Explanation:

Diameter = 2r -------------------------------------------------------------------(1)

where r is the radius

The value of the diameter = 32 m and radius is given to be 4(x+2)

substitute the above into equation (1) and then solve for x

32 = 2 [ 4(x + 2)]

first open the inner bracket

32 = 2[4x + 8}

then open the outer bracket

32 = 8x + 16

subtract 16 from both-side of the equation

32 - 16 = 8x +16 - 16

16 = 8x

Divide both-side of the equation by 8

16/8 = 8x/8

2 = x

x = 2

Therefore, the value of x is 2