Chapter: Mensuration· Mathematics Part 2 (Geometry)
Answer: Area ≈ 205.33 cm\(^2\); distance ≈ 29.33 cm
The minute hand turns 360° in 60 minutes, i.e. 6° per minute. In 20 minutes, θ = 120°.
Area swept = area of sector \(= \dfrac{120}{360} \times \dfrac{22}{7} \times 14 \times 14 = \dfrac{1}{3} \times 616 = \dfrac{616}{3} \approx 205.33\) cm\(^2\).
Distance travelled by the tip = length of arc \(= \dfrac{120}{360} \times 2 \times \dfrac{22}{7} \times 14 = \dfrac{1}{3} \times 88 = \dfrac{88}{3} \approx 29.33\) cm.