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If the circumference of a circle is 31.4 cm, what is the radius of the circle? (
If the circumference of a circle is 31.4 cm, what is the radius of the circle? (Use π = 3.14) (2022)
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Q1
If the circumference of a circle is 31.4 cm, what is the radius of the circle? (Use π = 3.14) (2022)
5 cm
7 cm
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Circumference = 2πr. Therefore, r = circumference / (2π) = 31.4 / (2 * 3.14) = 5 cm.
Questions & Step-by-step Solutions
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Q
Q: If the circumference of a circle is 31.4 cm, what is the radius of the circle? (Use π = 3.14) (2022)
Solution:
Circumference = 2πr. Therefore, r = circumference / (2π) = 31.4 / (2 * 3.14) = 5 cm.
Steps: 7
Show Steps
Step 1: Write down the formula for the circumference of a circle, which is Circumference = 2πr.
Step 2: We know the circumference is 31.4 cm, so we can set up the equation: 31.4 = 2πr.
Step 3: Substitute π with 3.14 in the equation: 31.4 = 2 * 3.14 * r.
Step 4: Calculate 2 * 3.14, which equals 6.28. Now the equation is: 31.4 = 6.28r.
Step 5: To find r, divide both sides of the equation by 6.28: r = 31.4 / 6.28.
Step 6: Perform the division: 31.4 divided by 6.28 equals 5.
Step 7: Therefore, the radius of the circle is 5 cm.
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