Question

Lincy is standing 20 feet from the circular wall of an above ground swimming pool and 49 feet from a point of tangency. Find the radius of the pool.

Answer 1

the radius of the pool is 50.025 feet

Explanation:

From the information given:

We can have a schematic view of a diagrammatic illustration in our mind where the distance of the pool to Lincy is (20 + r ) and the distance to the tangent is 49.

So; by using pythagoras theorem, since the radius meets the tangent at a right angle; we have:

`r^2 + 49^2 = ( r + 20 )^2`

`r^2 +2401 = r^2 + 40r + 400`

`2401 = 40r + 400`

`2401- 400 = 40r`

2001 = 40 r

r = 2001/40

r = 50.025 feet