a)
Area of different polygons inscribed in a
a)
Answer to Problem 34PPS
Explanation of Solution
Given:
- Square inscribed in a Circle.
- Pentagon inscribed in a Circle.
- Hexagon inscribed in a Circle.
Calculation:
Formula/Relationship
b)
To find the value of interior
b)
Answer to Problem 34PPS
Number of Sides (n) | Interior Angle (x) | Area of Inscribed |
4 | 90 | 200 |
5 | 108 | 237.76 |
6 | 120 | 259.81 |
8 | 135 | 282.84 |
10 | 144 | 293.89 |
20 | 162 | 309.01 |
50 | 172.8 | 313.33 |
100 | 176.4 | 313.95 |
Explanation of Solution
Given:
- Square inscribed in a Circle.
- Pentagon inscribed in a Circle.
- Hexagon inscribed in a Circle.
- Let the Radius = 10
Calculation:
Conclusion:
Number of Sides (n) | Interior Angle (x) | Area of Inscribed Polygon |
4 | 90 | 200 |
5 | 108 | 237.76 |
6 | 120 | 259.81 |
8 | 135 | 282.84 |
10 | 144 | 293.89 |
20 | 162 | 309.01 |
50 | 172.8 | 313.33 |
100 | 176.4 | 313.95 |
Chapter 11 Solutions
Geometry, Student Edition
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