Question

a crêpe (pronounce it like grape, except with a c!) is a type of very thin, cooked pancake usually made from wheat flour. the students in a cooking class used their large grill to cook an enormous crêpe (and since they all love math, they cooked it in the shape of a perfect circle) with a circumference of 62.8 cm! what is the area of this crêpe? select one: a. 10 square centimeters b. 20 square centimeters c. 314 square centimeters d. 1256 square centimeters janice drew a circle. john drew a circle with a radius four times larger than janice’s. how many times larger is the area of john’s circle compared to janice’s?

Explanation:

First Question (Crêpe Area)

Step1: Find radius from circumference

The circumference formula is $C=2\pi r$. Rearrange to solve for $r$:
$r=\frac{C}{2\pi}=\frac{62.8}{2\times3.14}=10$ cm

Step2: Calculate circle area

Use area formula $A=\pi r^2$:
$A=3.14\times10^2=314$ square cm

Step1: Define radii variables

Let Janice's radius = $r$, John's radius = $4r$

Step2: Calculate both areas

Janice's area: $A_j=\pi r^2$
John's area: $A_h=\pi (4r)^2=16\pi r^2$

Step3: Find area ratio

$\frac{A_h}{A_j}=\frac{16\pi r^2}{\pi r^2}=16$

Answer:

c. 314 square centimeters

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Second Question (Circle Area Comparison)