Question

What is the approximate area of the lawn, in square feet, the dog could reach from the stake?

Answer 1

Let's solve this problem step-by-step.

STEP-BY-STEP EXPLANATION:

Let's first establish that the area of the lawn which the dog could reach from the stake would be the area of a circle.

This means we will require the formula for the area of a circle in order to obtain the area of the lawn which the dog can reach.

The formula for the area of a circle is as follows:

Let area of the lawn which dog can reach from the stake or area of circle = A

A = ( Pi )r^2

Where Pi = 3.14 ( we will be using 3.14 as stated in the problem )

Where r = radius of the circle

From this, we will use the value given from the problem for the radius of the circle and substitute it into the formula to obtain the area of the lawn the dog can reach.

r = 9 feet

THEREFORE:

A = ( 3.14 )( 9 )^2

A = 254.34 square feet

A = 254 square feet ( rounded to the nearest whole number for the approximate value )

FINAL ANSWER:

Therefore, the approximate area of the lawn which the dog could reach from the stake is 254 square feet.

Hope this helps! :)
Have a lovely day! <3