Question

Brad's rectangular backyard has an area of . The white circle represents the portion of Brad's yard that water from his sprinkler reaches and has an area of . . Write an expression to represent the gray region, the area of his yard that the water from the sprinkler does not reach .

Answer 1

Answer: Let's call the area of Brad's rectangular backyard "A". The area of the white circle is "C". The area of the gray region, the portion of the yard that the water from the sprinkler does not reach, is "G".

We know that the sum of the areas of the white circle and the gray region is equal to the area of Brad's backyard:

C + G = A

Therefore, the expression to represent the gray region is:

G = A - C

Explanation: