Question

the minute hand of a clock is 5 inches long. what is the area of the circle, in square inches, created in a hand sweep in an hour

Answer 1

solve the area of the whole circle since in an hour, the minute hand covers the whole clock
assuming that the minute hand reaches all the way out to the edge of the clock


the minute hand is the radius
area=pi times r^2
r=5
5^2=25
area=pi times 25
area=25pi

aprox pi=3.14
25 times 2.14=78.5

area=78.5 in^2