Answer:
Thus, the expression to find the measure of θ in radians is θ = π÷3
Step-by-step explanation:
Given that the radius of the circle is 3 units.
The arc length is π.
The central angle is θ.
We need to determine the expression to find the measure of θ in radians.
Expression to find the measure of θ in radians:
The expression can be determined using the formula,
where S is the arc length, r is the radius and θ is the central angle in radians.
Substituting S = π and r = 3, we get;
Dividing both sides of the equation by 3, we get;
Just set up a proportion with the original numbers and then the numbers you want to find like so: (x1/y1)=(x2/y2) and since you want to find the second y value, just leave y as a variable like so: (15/24)=(3/y) after this just cross multiply and get the answer: 15y=72.....y=4.8
Total slices=4*6=24. Take away 3 slices leaving 21=18+3=3 pizzas and ½ a pizza, 3½.
