Activity 5
Solve the following problems and show solution.
1. How many chords can be drawn given 6 points on a circle?
2. The figure below shows 5 vertical lines and 4 horizontal lines which intersect forming right angles. As a result, rectangles are formed. How many rectangles in all are formed?
Solve the following problems and show solution.
1. How many chords can be drawn given 6 points on a circle?
2. The figure below shows 5 vertical lines and 4 horizontal lines which intersect forming right angles. As a result, rectangles are formed. How many rectangles in all are formed?
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Answer:
1. 15 chords (please kindly look at the photo)
2. A rectangle requires two vertical and horizontal lines hence, Any pair from each set make a rectangle
= 5C2 × 4C2 = 10 × 6 = 60 rectangles
5C2 means 5 choose 2 so = 10
4 choose 2 = 6
Correct me if I'm wrong
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