the minute hand of a clock is 12 long. the area of the face of the clock inscribed by the minute hand in 35 min ?
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Answer: 396 sq units
Step-by-step explanation:
Here we're finding the area of a sector.
Area of a sector is ½ r² ∅.
∅ is the angle in radians.
The total angle is 180°. 60 mins in a clock. Therefore each minute is 360/60=6°
Therefore 5 mins = 5× 6=30°
In 30 mins, 180°
Total degrees in 35 mins= 210°
To convert to radians: 210×(π/180)= 11/2
Area= 1/2 × 12×12×11/2
= 396 sq units
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