When a clock reads 3: 00 what is the area of the clock face between the hour and the minute hands if the clock face has a 12 inch diameter

When a clock reads 3:00, the minute hand is at the 12, and the hour hand is at the 3. So, one hand points straight up, and the other points to the right. This is 1/4 of the entire clock.

The area of a circle is A = pi*r^2. The diameter of the clock is 12 inches, so the radius is 6 inches. The area of the entire clock is A = pi*(6 in)^2 =
36pi inches squared.

We are only trying to find the area between the two hands, which we determined was 1/4 of the clock. So, the area is (1/4)(36pi) = 9pi inched squared.

The final answer is 9pi inches squared.