The minute hand of a clock is 7cm long. Find the area traced by the minute hand of the clock between 4:15pm to 4:35 pm on a day.

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To solve this, you must first find the area of the whole clock.  As you know, the area of a circle is found by the equation

Area = pi*(r^2)

In this equation, r stands for the radius of the circle.

We will assume that the minute hand is the radius. ...

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To solve this, you must first find the area of the whole clock.  As you know, the area of a circle is found by the equation

Area = pi*(r^2)

In this equation, r stands for the radius of the circle.

We will assume that the minute hand is the radius.  So then our equation is

Area = 3.14*(49)  because 49 is 7 times 7.

So the area of the whole circle is 153.86 cm^2

The area traced by the hand in the time you mention is one-third of the total area.  That is because there are 12 intervals on a clock face (5 minutes each).  The time you mention covers 4 intervals.  Therefore, the area traced is

51.29 cm^2

 

 

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