In Circle O, centrally angle AOB measures π/3 radians.What is the length of arc AB?
1 answer:
Answer:
Step-by-step explanation:
The length of any arc is calculated using the following equation:
s = r*θ
Where s is the length of the arc, r is the radius of the circle and θ is the angle in radians.
So, if we have a Circle O and a centrally angle AOB that measures π/3 radians, the value of the length of arc AB is calculated as:
Where r is the radius of the circle O.
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Answer:
a.
b. $37.50
Step-by-step explanation:
To find out how much the 5 were paying in total, we can add the bill and the tip. This gives us x + 10. Since there are 5 people and they are splitting the bill equally, the total amount would be divided by 5 to get the amount each person pays: . We already know the amount they each paid, as it is given as $9.50. Both expressions represent the same thing, do we can set them equal to each other:
Now, we can solve.
First, we can multiply by 5 on both sides to get:
47.5 = x + 10
And then subtract 10:
x = 37.5
This means the bill before the tip was $37.50