Question

Question 6

5. The area of a circular hubcap is 615 inches. If the radius of the hubcap were quadrupled what would be the approximate area of the new
hubcap rounded to the nearest square inch? (NO DECIMAL)​

Answer 1

Step-by-step explanation:

Area of a circular hubcap is 615 square inches

Area of a circular shaped object is given by :

`A=\pi r^2`

r is radius of hubcap.

If the radius of the hubcap were quadrupled, it means r' = 4r. New area will become:

`(A)/(A')=(r^2)/(r'^2)`

A' is new area

`A'=A* (r'^2)/(r^2)\\\\A'=615* ((4r)^2)/(r^2)\\\\A'=615* 16\\\\A'=9840\ \text{inches}^2`

New area of the hubcap is 9840 square inches.