Question

find the circumference and the area of a circle with diameter 8 mm. write your answers in terms of π, and be sure to include the correct units in your answers. (a) circumference: (b) area:

Explanation:

Step1: Calculate radius from diameter

Radius $r = \frac{\text{diameter}}{2} = \frac{8}{2} = 4$ mm

Step2: Compute circumference

Circumference $C = \pi d = \pi \times 8 = 8\pi$ mm

Step3: Compute area of the circle

Area $A = \pi r^2 = \pi \times 4^2 = 16\pi$ mm²

Answer:

(a) Circumference: $8\pi$ mm
(b) Area: $16\pi$ mm²