Question

Question 6

Answer 1

Answer:

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:

$\dfrac{A}{A'}=\dfrac{r^2}{r'^2}$

A' is new area

$A'=A\times \dfrac{r'^2}{r^2}\\\\A'=615\times \dfrac{(4r)^2}{r^2}\\\\A'=615\times 16\\\\A'=9840\ \text{inches}^2$

New area of the hubcap is 9840 square inches.