Hello, today I will be covering a math problem that you may encounter in a standardized test. In the diagram, you see a triangle within a semicircle and some shaded regions. This problem will test you on your knowledge for finding area. You will need to understand area of a circle, pythagorean theorem, and area of a triangle.
Area of Circle: πr^2
Area of Semicircle: (πr^2)/2
Area of Triangle: (1/2)bh
Pythagorean Theorem: a^2+b^2=c^2
I hope you get to practice working on this problem. Let me know in the comments if you have any questions or what you would like to see next.
Timestamps:
00:00 Introduction to practice problem
00:55 Explanation of how to approach this problem
01:25: Area of a circle
01:45 Finding the hypotenuse/diameter of circle
03:18 Finding area of semicircle
03:52 Area of a triangle
04:25 Area of semicircle minus Area of triangle
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