Question

a circular swimming pool is surrounded by a concrete wall 4 feet wide of the area of the concrete wall surrounding the pool is 11/25that of the pool then radius of the pool
​

Answer 1

Answer:

Radius of the pool = 20 ft.

Step-by-step explanation:

Let the radius of the pool be R ft.

Radius of the pool including the wall = (R + 4)ft.

Area of the concrete wall :

=π[(R+4)2−R2]sq.ft=π[(R+4+R)(R+4−R)]sq.ft=8π(R+2)sq.ft8π(R+2)=1125πR2⇒11R2=200(R+2)⇒11R2−200R−400=0⇒11R2−220R+20R−400=0⇒11R(R−20)+20(R−20)=0⇒(R−20)(11R+20)=0⇒R=20

∴ Radius of the pool = 20 ft

MAKE ME AS BRAINLIST PLS