Question

The town recreation committee raised money to increase the circumference of a jogger's park, which was initially 1200 feet. It was decided to multiply the radius of the jogger's park by 3. If this decision were to be implemented, what would be the circumference of the new park? A. 1280 ft. B. 2820 ft. C. 3600 ft. D. 4560 ft.

Answer 1

Answer: C. 3600 ft.

Step-by-step explanation:

Given: The initial circumference of the jogger's park= 1200 feet.

Let r be the radius of the joggers park.

The circumference of joggers park is given by:-

$\text{Circumference}=2\pi r=1200\ ft$

Now, the radius of new park= 3x

Then, the circumference of joggers park is given by:-

$\text{Circumference}=2\pi (3r)=3\times(2\pi r)=3\times1200=3600\ ft$