Question

dan is building a circular swimming pool and wants the circumference to be no more than 95 feet what is the largest radius possible for the pool. Round to the nearest tenth of a foot.

Answer 1

The largest radius for the swimming pool is 15.1 feet

Step-by-step explanation:

Step 1:

Circumference of the circular swimming pool built by Dan  = 95 feet

We need to determine the largest radius for the pool.

Step 2 :

Circle's circumference  is given by 2πr

Where r represents the radius

This shows that the radius is in direct proportion to the circumference. Hence the radius corresponding to the maximum circumference will be the largest possible radius

So we have 2πr = 95

=> r = $\frac{95}{2\pi }$  

=> r =   $\frac{95}{2}$ × $\frac{7}{22 }$  where $\pi = \frac{22}{7}$

=> r = 15.1 feet (rounded off to tenth of a foot)

Step 3 :

The largest radius for the swimming pool is 15.1 feet