Question

(a) use the calculator to find the circumference and area of the mirror. use 3.14 for π in your calculations, and do not round your answers. make sure to include the correct units. circumference: area: (b) the mirror’s glass will be replaced. which measure would be used in finding the amount of glass needed? ∘ circumference ∘ area (c) a silver wire will be placed around the mirror. which measure would be used in finding the amount of wire needed? ∘ circumference ∘ area

Explanation:

Step1: Find the diameter

The line through the center is the diameter: 96 cm.

Step2: Calculate circumference

Formula: $C = \pi d$. Substitute $\pi=3.14$, $d=96$:
$C = 3.14 \times 96 = 301.44$ cm.

Step3: Calculate radius

Radius $r = \frac{d}{2} = \frac{96}{2} = 48$ cm.

Step4: Calculate area

Formula: $A = \pi r^2$. Substitute $\pi=3.14$, $r=48$:
$A = 3.14 \times 48^2 = 3.14 \times 2304 = 7234.56$ cm².

Step5: Answer (b)

Glass replacement needs area.

Step6: Answer (c)

Wire around needs circumference.

Answer:

Circumference: 301.44 cm
Area: 7234.56 cm²
(b) Area
(c) Circumference