The length of minute hand of clock is 14 cm .Find the area swept by the minute hand in 5 minute.
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Answered by
13
Angle covered in 1 minute is 6 degrees
Angle covered in 5 minutes is 30 degrees
Area = theta/360 x pi x r x r
= 30/360 x pi x 14 x 14
= 1/12 x 22/7 x 14 x 14
= 1/6 x 11/7 x 14 x 14
= 1/6 x 11 x 2 x 14
= 1/3 x 11 x 2 x 7
= 51.34 sq. cm
Angle covered in 5 minutes is 30 degrees
Area = theta/360 x pi x r x r
= 30/360 x pi x 14 x 14
= 1/12 x 22/7 x 14 x 14
= 1/6 x 11/7 x 14 x 14
= 1/6 x 11 x 2 x 14
= 1/3 x 11 x 2 x 7
= 51.34 sq. cm
av920410:
Thanks bro
Thanks bro
I hv a doubt but how do u say that the angle is 30 degree?
Pls clarify yar..
360/12=36
360 is angle of clock and 12 are months
Answered by
37
Answer:
51.33 cm²
Step-by-step explanation:
Radius = 14 cm
From 0 - 5 minutes, angle is 30° (90°/3)
Area of sector of circle = θ/360 × πr²
30/360 × 22/7 × 14 × 14
3/36 × 22/7 × 196
1/12 × 616
∴ Area swept by the minute hand is 51.33 cm².
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