Question

type the answer in each space provided. use numbers instead of words. complete the table for each circle. round to the nearest hundredth.

circle	radius (in.)	diameter (in.)	circumference (in.)	$\frac{\text{circumference}}{\text{diameter}}$
circle b	$square$	4.8	15.1	$square$
circle c	3.7	$square$	23.2	$square$

Explanation:

Step1: Recall circle formulas

For a circle, diameter \( d = 2r \) (where \( r \) is radius), and \( \frac{\text{Circumference}}{\text{Diameter}}=\pi\approx3.1416 \), but we calculate it as \( \frac{C}{d} \) for each circle.

Step2: Circle A - Diameter

Given \( r = 1.4 \), so \( d = 2\times1.4 = 2.8 \)

Step3: Circle A - \( \frac{C}{d} \)

\( C = 8.8 \), \( d = 2.8 \), so \( \frac{8.8}{2.8}\approx3.14 \) (rounded to nearest hundredth)

Step4: Circle B - Radius

Given \( d = 4.8 \), so \( r=\frac{d}{2}=\frac{4.8}{2}=2.4 \)

Step5: Circle B - \( \frac{C}{d} \)

\( C = 15.1 \), \( d = 4.8 \), so \( \frac{15.1}{4.8}\approx3.15 \) (rounded to nearest hundredth)

Step6: Circle C - Diameter

Given \( r = 3.7 \), so \( d = 2\times3.7 = 7.4 \)

Step7: Circle C - \( \frac{C}{d} \)

\( C = 23.2 \), \( d = 7.4 \), so \( \frac{23.2}{7.4}\approx3.14 \) (rounded to nearest hundredth)

Answer:

Circle	Radius (in.)	Diameter (in.)	Circumference (in.)	\( \frac{\text{Circumference}}{\text{Diameter}} \)
Circle B	2.4	4.8	15.1	3.15
Circle C	3.7	7.4	23.2	3.14

(For the table cells: Circle A Diameter: 2.8; Circle A \( \frac{C}{d} \): 3.14; Circle B Radius: 2.4; Circle B \( \frac{C}{d} \): 3.15; Circle C Diameter: 7.4; Circle C \( \frac{C}{d} \): 3.14)