Polygon and Circle
[tex] \normalsize\blue{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
Answer:
17. In the figure below, what is [tex]\overline{BD }[/tex]?
- [tex]\large \red{ \boxed{ \green{ \sf{C. \: radius}}}}[/tex]
Radius is a half of a diameter, diameter is the straight line top to bottom or left side to right side.
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18. [tex]\overline{BD }[/tex] is 10 cm, what is the measure of [tex]\overline{RD }[/tex] of?
- [tex]\large \red{ \boxed{ \green{ \sf{A. \: 20cm}}}}[/tex]
As what the explanation said in number 17, [tex]\bold{\overline{BD }}[/tex] is the radius in the circle and [tex]\bold{\overline{RD }}[/tex] is the diameter, to find the measure of diameter multiply the radius by two.
- [tex]\tt{D \: = \: 2r}[/tex]
- [tex]\tt{D \: = \: 2(10cm)}[/tex]
- [tex]\tt{D \: = }[/tex][tex]\tt\underline\green{20cm}[/tex]
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19. Polygons are classified according to the number of sides. What do you call a polygon with 6 sides?
- [tex]\large \red{ \boxed{ \green{ \sf{B. \: Hexagon}}}}[/tex]
The polygon with six sides called hexagon.
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20. What is the value of the 6th angle of a hexagon with 122°, 123°, 124°, 125°, 126°,
- [tex]\large \red{ \boxed{ \green{ \sf{A. \: {100}^{\circ}}}}}[/tex]
The interior angle of a hexagon is 720°, so we are adding all the given then minus it to the exact interior angle of a hexagon.
- [tex]\tt{{720}^{\circ} = s + s + s + s + s + s}[/tex]
- [tex]\tt{{720}^{\circ} = {122}^{\circ} + {123}^{\circ} + {124}^{\circ} + {125}^{\circ} + {126}^{\circ} + s}[/tex]
- [tex]\tt{{720}^{\circ} - {620}^{\circ} = s}[/tex]
- [tex]\tt\underline\green{ {100}^{\circ} }[/tex] [tex]\tt{= s}[/tex]
[tex] \normalsize\blue{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
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