What is the difference in area covered by a single 3 inch windshield wiper operating with a central angle of 138 degrees compared to a pair of 5 inch wipers operating together each having a central angle of 114 degrees?

38.9 square inches.

Step-by-step explanation:

We are asked to find the difference in area covered by a single 3 inch windshield wiper operating with a central angle of 138 degrees compared to a pair of 5 inch wipers operating together each having a central angle of 114 degrees.

We will use area of sector formula to solve our given problem as:

, where, r represents radius and theta represents central angle.

Let us find area of sector with central angle 140 degree and radius 3 inch.

Now, we will find area of sector with central angle 114 degree and radius 5 inch and multiply by 2 as:

Let us find difference of area as shown below:

Therefore, the difference in area covered is approximately 38.9 square inches.

answer: the correct one is a

step-by-step explanation: