SOMEONE PLEASE HELP

Suppose that all of the points on the circular dartboard shown are equally likely to be hit by a dart. If the radius of the shaded center circle is 2 and the radius of the entire dartboard is 4, what is the probability of throwing a dart and hitting the white part of the board? Round your answer to the nearest whole number.

A: 67%

B: 50%

C: 25%

D: 75%

  D:  75%

Step-by-step explanation:

The figure is not drawn to scale, so can be misleading.

The ratio of smaller circle radius to larger circle radius is ...

  2/4 = 1/2

The ratio of smaller circle area to larger circle area is the square of this:

  (1/2)^2 = 1/4

Then the white circle is 1 -1/4 = 3/4 of the total area. The probability it will be hit by a dart is 3/4 = 0.75 = 75%.

The probability of hitting the white part of the circle is 75%.

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign

so, converting firstly the mixed fractions to improper fractions and then "adding".