Awall clock is equally divided into 12 sections. if the clock reads 8: 00 and has a diameter of 12.5 inches, find the area of the smaller sector formed by the minute and hour hands.

Step-by-step explanation:

The wall clock has handas that move 360°. So, if it's equally distributed then, we can divide

Thich means that during each interval of hour, the hands move 30°.

So, if the wall clock is showing 8 o'clock, than one hand is pointing 12, which is gonna be the reference point 0°. The hour hand would be at number 8, which forms an angle of

Now, to find the circular sector area we used the following formula

Where and , because the radius is defined as half the diameter.

Replacing all these values and , we have

Therefore, the area of the smaller sector formed by the minute and hour hands is 81.8 square inches.

1,645,493,059.35

step-by-step explanation: