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Mathematics

Find the length of the diameter of a circle whose circumference is 44 cm.

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Answer

Let radius = r cm.

By formula,

Circumference = 2πr

2πr = 44

⇒2×227×r=44⇒44r7=44⇒r=44×744⇒r=7 cm.\Rightarrow 2 \times \dfrac{22}{7} \times r = 44 \\[1em] \Rightarrow \dfrac{44r}{7} = 44 \\[1em] \Rightarrow r = \dfrac{44 \times 7}{44} \\[1em] \Rightarrow r = 7 \text{ cm}.

Diameter = 2r = 2 × 7 = 14 cm.

Hence, length of the diameter of the circle = 14 cm.

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