Question

Please select either A,B,C, or D in the end.(Info in figure)

Answer 1

Step 1. Find the radius and the angle of the shades part.

The radius of the circle is the line that goes from the center to the circumference, in this case, 9 cm:

`r=9cm`

The angle of the shaded part is:

`a=360-75=285`

this is because 360° is the complete angle of all of the circle and 75 is the non-shaded part, 360-75=285° is the angle of the shaded part ''a''.

Step 2. Use the following formula to find the area of the shaded part:

`(\pi r^2)/(360)* a`

Step 3. Substitute the known values:

`(\pi(9cm)^2)/(360)*285`

Step 4. Solve the operations.

-Solving the exponent:

`(\pi\cdot81cm^2)/(360)*285`

-Multiply 81 by 285

`(23085)/(360)\pi cm^2`

-Simplify the fraction dividing each quantity by 45:

`(513)/(8)\pi cm^2`

This is the area of the shaded part.

Answer: D

`(513)/(8)\pi cm^2`