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A table with 6 rows (a-f) has columns for radius, diameter, and circumference. Given some values, calculate the missing ones using pi = 22/7.

Mathematics

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Step 1: State the formulas for circles.
The relationships between radius (rr), diameter (DD), and circumference (CC) of a circle are:

D=2rD = 2r C=πD=2πrC = \pi D = 2\pi r

We are instructed to use the value π=227\pi = \frac{22}{7}.

Step 2: Calculate missing values for rows a and b.
Row a: Given radius r=7r = 7 m.

D=2×7 m=14 mD = 2 \times 7 \text{ m} = 14 \text{ m} C=2×227×7 m=44 mC = 2 \times \frac{22}{7} \times 7 \text{ m} = 44 \text{ m}

Row b: Given diameter D=7D = 7 m.

r=7 m2=3.5 mr = \frac{7 \text{ m}}{2} = 3.5 \text{ m} C=227×7 m=22 mC = \frac{22}{7} \times 7 \text{ m} = 22 \text{ m}

Step 3: Calculate missing values for rows c and d.
Row c: Given radius r=14r = 14 cm.

D=2×14 cm=28 cmD = 2 \times 14 \text{ cm} = 28 \text{ cm} C=2×227×14 cm=88 cmC = 2 \times \frac{22}{7} \times 14 \text{ cm} = 88 \text{ cm}

Row d: Given diameter D=42D = 42 m.

r=42 m2=21 mr = \frac{42 \text{ m}}{2} = 21 \text{ m} C=227×42 m=132 mC = \frac{22}{7} \times 42 \text{ m} = 132 \text{ m}

Step 4: Calculate missing values for rows e and f.
Row e: Given radius r=35r = 35 cm.

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