Question

The Spartans are decorating their circular banner for an upcoming play off game. The banner has a diameter of 8 feet. How much paint would it take to cover half the banner with red paint?

A. 100.48 ft
B. 200.96 ft
C. 50.24 ft
D. 25.12 ft

Answer 1

A bc a circle is po times the radius squared

Answer 2

Correct option :

$= \bold{D) \: 25.12 ft }$

Steps to derive the correct option :

Diameter of circular banner = 8 feet

Radius of circular banner = 4 feet

Area of the circular banner :

$= \pi r2$

$= 3.14 \times {4}^{2}$

$= 50.24 \: feet$

Thus, the area of the circular banner = 50.24 feet

Paint taken to cover half of the banner :

$= 50.24 \: \div \: 2$

$= \bold{25.12 \: feet}$

Therefore, paint it would take to color half of the banner in red = 25.12 ft