Anybody know the answers to these 3?

Part 1) The area of the shaded region is

Part 2) The length of the arc AB is

Part 3) The area of the shaded region is

Step-by-step explanation:

Part 1) Find the area of the shaded region

step 1

Find the area of the circle

The area is equal to

we have

substitute

step 2

we know that

The area of complete circle subtends a central angle of 360 degrees

so

by proportion

calculate the area of the shaded region with a central angle of 84 degrees

Part 2) What is the length of arc AB?

step 1

we know that

The circumference of a circle is equal to

we have

substitute

step 2

we know that

The length of complete circle subtends a central angle of 360 degrees

so

by proportion

calculate the length of the arc AB with a central angle of 90 degrees

Part 3) Find the area of the shaded region given that XY measures 8 in

step 1

Find the area of the circle

The area is equal to

we have

substitute

step 2

we know that

The area of complete circle subtends a central angle of 360 degrees

so

by proportion

calculate the area of the shaded region with a central angle of (360-42)=318 degrees