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.
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