Question

(a) use the calculator to find the area and circumference of the mirror. use 3.14 for π in your calculations, and do not round your answers. make sure to include the correct units. area: circumference: (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 radius of the circle

The diameter is 26 cm, so radius $r = \frac{26}{2} = 13$ cm.

Step2: Calculate circumference

Circumference formula: $C = 2\pi r$. Substitute $\pi=3.14$, $r=13$:
$C = 2 \times 3.14 \times 13 = 81.64$ cm.

Step3: Calculate area

Area formula: $A = \pi r^2$. Substitute $\pi=3.14$, $r=13$:
$A = 3.14 \times 13^2 = 3.14 \times 169 = 530.66$ cm².

Step4: Answer (b)

Glass replacement needs area (covers the mirror's surface).

Step5: Answer (c)

Wire around the mirror needs circumference (edge length).

Answer:

(a) Area: 530.66 cm²; Circumference: 81.64 cm
(b) Area
(c) Circumference