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The diameter of a circle is 28 cm. Find its circumference (Take ╧А = 22/7).
88 cm
44 cm
176 cm
154 cm
88 cm
Use the 7-11-22 rule: For diameter d = 7, circumference is 22. Since diameter is 28 (which is 4 times 7), the circumference is 22 multiplied by 4, resulting in 88.
Diameter of the circle d = 28 cm, Value of constant pi = 22/7
C=╧А├Чd
Use the 7-11-22 rule: For diameter d = 7, circumference is 22. Since diameter is 28 (which is 4 times 7), the circumference is 22 multiplied by 4, resulting in 88.
Many students mistakenly use the radius instead of diameter or accidentally divide the diameter by 2 before applying the circumference formula, leading to 44 cm instead of 88 cm.
Identify given parameters
We are given the diameter of the circle as 28 cm.
d=28┬аcm
Apply circumference formula
The circumference of a circle is calculated using the formula C=╧Аd.
C=722тАЛ├Ч28
Calculate the result
Simplify the expression by dividing 28 by 7 to get 4, then multiply by 22.
C=22├Ч4=88┬аcm
A is correct because the calculated circumference using the formula C=╧Аd equals 88 cm.
This relationship is the foundation for solving problems involving arc length and circular motion physics; remember that d=2r is always the first check in geometry problems.
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