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Arc Length, Sector Area and Area of Triangles
Arc Length, Sector Area and Area of Triangles
Arc Length and Sector Area
Area of Triangle
Application of Trigonometry: Elevation Angles and Depression Angles
The Formula for Sector Area.
The Formula for Sector Area.
The Formula for Arc Length.
The Formula for Arc Length.
The Formula for the Area of a Triangle.
The Formula for the Area of a Triangle.
A helpful resource for learning how to use the formulas for arc length and sector area.
A helpful resource for learning how to use the formulas for arc length and sector area.
Make sure to check and see if your problem is in radian or degrees.
Make sure to check and see if your problem is in radian or degrees.
SAT Problem:
SAT Problem:
- A circular, 8-slice pizza is placed in a square box that has dimensions four inches larger than the diameter of the pizza. If the box covers a surface area of 256 in2, what is the surface area of one piece of pizza?
Possible Answers:
144π in2
36π in2
4.5π in2
9π in2
18π in2
Correct Answer: 4.5π in2
Explanation: The first thing to do is calculate the dimensions of the pizza box. Based on our data, we know 256 = s2. Solving for s (by taking the square root of both sides), we get 16 = s (or s = 16).
Now, we know that the diameter of the pizza is four inches less than 16 inches. That is, it is 12 inches. Be careful! The area of the circle is given in terms of radius, which is half the diameter, or 6 inches. Therefore, the area of the pizza is π * 62 = 36π in2. If the pizza is 8-slices, one slice is equal to 1/8 of the total pizza or (36π)/8 = 4.5π in2.
Real World Application:
Real World Application:
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