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Indian Navy INET Areas Related to Circles — practice questions

Explore 4 free Areas Related to Circles questions in Indian Navy INET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Areas Related to Circles questions and exercises with answers

Showing questions 1–4 of 4.

A circular park of radius 20 m is to be enclosed by fencing. The length of fencing needed isRead the answer and worked solution →The perimeter of a sector of a circle of radius 14 cm and angle 90 degrees isRead the answer and worked solution →A circle is inscribed in an equilateral triangle of side 12 cm. The area of the region between the triangle and the circle is approximatelyRead the answer and worked solution →Two concentric circles have areas in the ratio 1 : 4. The ratio of their radii isRead the answer and worked solution →

Worked practice questions

A circular park of radius 20 m is to be enclosed by fencing. The length of fencing needed is

  1. 62.8 m
  2. 125.6 m
  3. 40 m
  4. 20 m
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Correct answer: B. 125.6 m

1. Circumference = 2 × pi × r = 2 × 3.14 × 20. 2. = 125.6 m. 3. Hence 125.6 m. _Source: syllabus Mathematics, Ch 11 "Areas Related to Circles", §11.2_

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The perimeter of a sector of a circle of radius 14 cm and angle 90 degrees is

  1. 50 cm
  2. 44 cm
  3. 22 cm
  4. 28 cm
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Correct answer: A. 50 cm

1. Perimeter = arc + 2 × radius = (90/360) × 2 × (22/7) × 14 + 2 × 14. 2. = (1/4) × 88 + 28 = 22 + 28. 3. Hence 50 cm. _Source: syllabus Mathematics, Ch 11 "Areas Related to Circles", §11.2_

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A circle is inscribed in an equilateral triangle of side 12 cm. The area of the region between the triangle and the circle is approximately

  1. 50 sq cm
  2. 15 sq cm
  3. 32 sq cm
  4. 25.04 sq cm
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Correct answer: D. 25.04 sq cm

1. Triangle area = (square root of 3)/4 × 144 ≈ 62.35 sq cm. 2. Incircle radius = side/(2 (square root of 3)) ≈ 3.464; area ≈ pi × 12 ≈ 37.71 (incircle). 3. Difference ≈ 62.35 - 37.71 ≈ 24.64 → option ≈ 25 sq cm. _Source: syllabus Mathematics, Ch 11 "Areas Related to Circles", §11.2_

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