Question

The Jonesboro Education Department decided to celebrate opening a new school by baking one of the biggest chocolate chip cookies ever made. They hired a local bakery to make a cookie with a diameter of 32 feet. What is the area of the surface of a cookie with a diameter of 32 ft? (Use 3.14 as an approximation for pi.)

Answer 1

74.6786 m² is the answer.

Explanation:

Step 1 :

we know that the diameter (D) of the cookie = 32 ft

Converting dimensions from feet (ft) to meter (m)

1 ft = 0.3048 m

32 ft = 32 × 0.3048

= 9.7536 m

Step 2 :

To find the surface area of the cookie we have the formula,

Area (A) = π . r²

Diameter (D) = 32 ft

∴ d = 2r

d/2 = r (radius)

32 ÷ 2 = r

r = 16 16 feet = 4.8768 m

π . r² = 3.14 × (4.8768)² = 3.14 × 23.783

= 74.6786 m²