Question

"How much room is there to spread frosting on the cookie?" Clare says, "The radius of the cookie is about 3 cm, so the space for frosting is about 6 cm." Andre says, "The diameter of the cookie is about 3 inches, so the space for frosting is about 2.25 sq. in."

A. Is this question talking about area or circumference? Pick one. Why?


B. Which person is most likely correct, Clare or Andre? Why?

Answer 1

(a)Area

(b)Andre is Right

Explanation:

(a)Frost is spread on the surface of a cookie, therefore the question is talking about the area of the circular cookie.

(b)

Andre says, "The diameter of the cookie is about 3 inches, so the space for frosting is about 2.25 sq. in

Area of a Circle
`=\pi r^2`

Radius =Diameter/2 =3/2=1.5 Inches

Therefore, Space for frosting on the cookie

`=\pi *1.5^2\\=2.25\pi$ in^2`

Andre is right.