Question

The long and short hands of a clock are 6 cm and 4 cm long respectively .find the sum of the distances travelled by their tips in 24 hours .use pi =3.14

Answer 1

distance travelled in 12 hours = 2(pie)r
distance travelled in 24 hours = 4(pie)r
total distance travelled = 4(pie) (r1+r2)
=125.6cm

Answer 2

So the radius of long hands in clock =6 cm
and radius of short hands in clock =4 cm
so using area of sector
where theta= 720°
Long hand
So= 720/360πr²
=2×22/7×6×6
=226.2 cm²(Approx)
and short hand
=720/360πr²
=2×22/7×4×4
=100.5 cm²(Approx)
so sum of distance traveled by them =226.2+100.5
=326.7 cm²(approx)
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