Indian Navy Pilot Areas Related to Circles — practice questions

Explore 2 free Areas Related to Circles questions in Indian Navy Pilot 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

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The formula for the length of an arc of a circle of radius r and angle theta (in degrees) isRead the answer and worked solution →A sector with central angle 90 degrees in a circle of radius 14 cm has areaRead the answer and worked solution →

Worked practice questions

The formula for the length of an arc of a circle of radius r and angle theta (in degrees) is

(theta/180) × pi × r squared
(theta/360) × 2 × pi × r
pi × r squared
2 × pi × r

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Correct answer: B. (theta/360) × 2 × pi × r

1. A full circle (360 degrees) has circumference 2 × pi × r. 2. An arc of angle theta is the fraction theta/360 of that. 3. Hence arc length = (theta/360) × 2 × pi × r. _Source: syllabus Mathematics, Ch 11 "Areas Related to Circles", §11.2_

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A sector with central angle 90 degrees in a circle of radius 14 cm has area

49 sq cm
77 sq cm
154 sq cm
38.5 sq cm

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Correct answer: C. 154 sq cm

1. Area = (90/360) × (22/7) × 14 × 14. 2. = (1/4) × (22/7) × 196 = (1/4) × 616 = 154 sq cm. 3. Hence 154 sq cm. _Source: syllabus Mathematics, Ch 11 "Areas Related to Circles", §11.2_