A clock has a radius of 9 inches. If it's 4:00, what's the arc length and the area of the sector of this time?

Guest Apr 14, 2014

#1**0 **

A clock has a radius of 9 inches. If it's 4:00, what's the arc length and the area of the sector of this time?

I'm assuming that you want the arc length and area of the sector from 12 to 4.

Since this sector represents 1/3 of the total area of the clockface, it must also have an arc length of 1/3 of the total circumference of the clock.

The total circumference is given by 2*pi*9 in = 18pi inches

So 1/3 of the circumference = 6pi inches

And the total area is given by pi * (9 in)^2 = 81pi in^2

And 1/3 of this is just 27pi in^2

Chris Apr 14, 2014