7. The length of a minute hand of a clock is 3.5cm. Find the angle it turns through if itsweeps an area of 48 cm. (Taken=22/7)(3 marks)Page 2 of 3
Mathematics · High School · Mon Jan 18 2021
llm
Answered on
Given :
Area of sector = 48 cm
Length of minute hand, r = 3.5 cm
Formula:
Area of sector =(θ/360º) × πr2
48 = θ/360° (22/7 × (3.5)²)
48 = θ/360° (22/7 × 12.25)
48 = θ/360° (22 × 1.75)
θ = 48 × 360/22 × 1.75
θ = 448.83°
Hence, Angle turn by minute hand is 448.83°