Question

a circular design is to be painted on the wall of a school cafeteria. the diameter of the design is 24 cm. the area of the design (to the nearest whole number of square centimeters ) is
select one:
a. 1809
b. 452
c. 75
d. 38

Explanation:

Step1: Calculate the radius

Radius $r = \frac{\text{Diameter}}{2} = \frac{24}{2} = 12$ cm

Step2: Compute the circle area

Use formula $A = \pi r^2$. Substitute $r=12$:
$A = \pi \times 12^2 = 144\pi \approx 144 \times 3.1416 = 452.39$

Step3: Round to nearest whole number

$452.39 \approx 452$

Answer:

b. 452