Question

Length of minute hand and the hour hand of a clock are in the ratio 4:3. find the ratio between the areas swept by the two hands in one hour

Answer 1

Ratio = 4:3
When, minute hand =4cm
Then, hour hand = 3cm
Area swept in one hour is a full circle.
Area swept by minute hand,
Radius ,r = 4cm
Area = πr²
= π x 4²
= 16π
Area swept by hour hand,
Radius,R = 3 cm
Area = πr²
= π x 3²
= 9π
Ratio,
Area swept by minute hand:Area swept by hour hand
16:9
.•. Hence, 16:9 is the required ratio
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