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. 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: Identify the diameter

The circle's diameter is 30 cm.

Step2: Calculate circumference

Circumference formula: $C = \pi d$.
Substitute $\pi = 3.14$, $d = 30$ cm:
$C = 3.14 \times 30 = 94.2$ cm.

Step3: Calculate radius

Radius $r = \frac{d}{2} = \frac{30}{2} = 15$ cm.

Step4: Calculate area

Area formula: $A = \pi r^2$.
Substitute $\pi = 3.14$, $r = 15$ cm:
$A = 3.14 \times 15^2 = 3.14 \times 225 = 706.5$ cm².

Step5: Answer (b)

Glass replaces the mirror's surface → area.

Step6: Answer (c)

Wire around the mirror → circumference.

Answer:

Circumference: 94.2 cm
Area: 706.5 cm²
(b) Area
(c) Circumference