Question

a circle has a diameter of 76 cm. what is the area of the circle?

Explanation:

Step1: Find radius from diameter

$r = \frac{76}{2} = 38$ cm

Step2: Apply circle area formula

$A = \pi r^2 = \pi \times 38^2$

Step3: Calculate the squared radius

$38^2 = 1444$

Step4: Compute final area

$A = 1444\pi \approx 1444 \times 3.1416 = 4536.4704$

Answer:

$1444\pi$ cm² (or approximately 4536.47 cm²)