Question 6 of 42beginner🔧 ApplyNumerical3 marks

The perimeter of a circle is 44 cm. What is its radius?

Correct Answer

7 cm

Exercise: Exercise Set 6.1 | Q: 1 | (Page 12)
For More Understanding

Explanation

The perimeter of a circle is its circumference. The context establishes that the ratio of circumference (C) to diameter (D) is fixed, and the formula for circumference is 2πr. By equating the given perimeter to 2πr and solving for r, we find the radius.

Solution Steps

  1. Step 1: Given Perimeter: The perimeter of a circle is its circumference, C = 44 cm.

  2. Step 2: Formula: The circumference of a circle is C = 2πr, where r is the radius.

  3. Step 3: Substitution: 44 = 2 × (22/7) × r

  4. Step 4: Calculation: 44 = (44/7) × r, which gives r = (44×744 \times 7) / 44 = 7 cm.

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