What is the approximate area of the shaded sector in the circle shown below

B

Step-by-step explanation:

The area of a circle is pi*radius^2. But only a diameter is given, so in order to find the radius, you must divide the diameter by 2:

3.6/2 = 1.8

Now, you can plug the radius, 1.8, into the equation pi*radius^2 ():

= about 10.18

Lastly, you must divide the area 10.18 by 2 because you are looking for only half the area.

10.18/2 = 5.09

Given:
c = cost
p = people
Spent $300

Formula: c=5p+215

Solving for how many people (p)

C=5P+215
(300)=5P+215               (Subtract 215 on both sides)
85=5P                           (Divide by 5 on both sides)
17=P

The answer is 17. 17 people can afford to host a birthday party.