Respuesta :

Answer:

A

Step-by-step explanation:

The entire circle has an area of pi * r^2

r = 10

pi = 3.14

Area = 3.14 * 10^2

Area = 314 cm^2

But that is the whole circle. What is shaded is 1/4 of the circle which 314/4

which = 78.5 cm^2

Answer: A

Answer:

A) 78.5 cm^2

Step-by-step explanation:

1. To find the shaded part of the circle (1/4), we can use a formula similar to the one we use to find the area of a whole circle, but in this case, for the 1/4 part that's shaded: [tex]\frac{1}{4} \pi r^2[/tex]. Keep in mind that pi is approximated to 3.14.

2. (Solving)

Step 1: Plug in the values.

  • [tex]\frac{1}{4}(3.14)(10^2)[/tex]

Step 2: Simplify.

  • [tex]\frac{1}{4}(3.14)(100)[/tex]
  • [tex]0.785(100)[/tex]
  • [tex]78.5[/tex]
  • 78.5 cm^2

Therefore, the answer is A) 78.5 cm^2.