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If the circumference of a circle is 44 cm, find its radius (take ╧А = 22/7).
7 cm
14 cm
3.5 cm
21 cm
7 cm
Remember the ratio 7:44 for radius to circumference: if circumference is a multiple of 44, the radius is the same multiple of 7.
Circumference of the circle C = 44 cm, value of pi = 22/7
C=2├Ч╧А├Чr
Remember the ratio 7:44 for radius to circumference: if circumference is a multiple of 44, the radius is the same multiple of 7.
Confusing diameter (d=2r) with radius (r), leading to an answer of 14 cm instead of 7 cm.
State the formula
The circumference of a circle is calculated using the formula relating the radius r and ╧А.
C=2╧Аr
Substitute given values
Plug in C=44 and ╧А=22/7 into the formula to solve for r.
44=2├Ч722тАЛ├Чr
Solve for the radius
Isolate r by multiplying and dividing constants: 44=744тАЛ├Чr, which simplifies to r=7.
r=4444├Ч7тАЛ=7
A is correct because substituting the given values into the circumference formula yields a radius of 7 cm.
The ratio of circumference to diameter is always ╧А. This constant relationship is also the basis for calculating arc lengths in trigonometry (radians).
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