The diameter of a circle is 14 cm. Its circumference is (take ... | Mathematics MCQ | Examoogle

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The diameter of a circle is 14 cm. Its circumference is (take π = 22/7):

44 $\text{ cm}$

88 $\text{ cm}$

22 $\text{ cm}$

154 $\text{ cm}$

Correct Answer

📐 MA • Math Direct FormulaMathematicsGeometry

Option A

44 $\text{ cm}$

Quick Summary:

Since $\pi = 22/7$ and the diameter is a multiple of 7, the circumference must be a multiple of 11. Option A (44) is the only multiple of 11 among the choices.

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📐MAMath SolutionDirect Formula

📋 Given

Diameter of the circle d = 14 cm, $\pi = 22/7$

🔢 Formula Used

C=π×dC = \pi \times dC=π×d

⚡ Exam Hall Shortcut / Speed Trick

Since $\pi = 22/7$ and the diameter is a multiple of 7, the circumference must be a multiple of 11. Option A (44) is the only multiple of 11 among the choices.

⚠️ Common Student Trap / Pitfall

Using the diameter value directly as the radius when applying the formula C = 2 $\pi r,$ which leads to double the correct value if not careful.

📊 Diagram / Illustration

🔢 Step-by-Step Solution

Identify Given Parameters

Note down the given dimensions from the problem statement: diameter $d = 14$ cm and the given value of $\pi = 22/7$ .

d=14 cmd = 14 \text{ cm}d=14 cm

Select the Formula

Use the standard formula for the circumference of a circle in terms of its diameter: $C = \pi d$ .

C=π×dC = \pi \times dC=π×d

Substitute and Calculate

Substitute the values into the equation: $C = \frac{22}{7} \times 14$ . Simplifying this gives $22 \times 2 = 44$ cm.

C=227×14=44 cmC = \frac{22}{7} \times 14 = 44 \text{ cm}C=722​×14=44 cm

✅

A is correct because the circumference is calculated as $\frac{22}{7}$ $\times 14 = 44$ cm.

Core Concepts Used

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Circle Geometry Circumference Mensuration

💡 EXAM TIP

Mastering basic circle formulas and divisibility tricks (like checking for multiples of 11 with $\pi)$ saves valuable time in RRB CBT-1 quantitative aptitude sections.

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