Please help! Fill in the 4 blanks !
1 answer:
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Answer:
i. 9
ii. 14
iii. 405
iv.
Step-by-step explanation:
The number of diagonals in a polygon of n sides can be determined by:
where n is the number of its sides.
i. For a hexagon which has 6 sides,
number of diagonals =
=
= 9
The number of diagonals in a hexagon is 9.
ii. For a heptagon which has 7 sides,
number of diagonals =
=
= 14
The number of diagonals in a heptagon is 14.
iii. For a 30-gon;
number of diagonals =
=
= 405
The number of diagonals in a 30-gon is 405.
iv. For a n-gon,
number of diagonals =
The number of diagonals in a n-gon is
Question:
What is the area of the sector? Either enter an exact answer in terms of π or use 3.14 and enter your answer as a decimal rounded to the nearest hundredth.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the values of radius and central angle are not given.
However, I'll answer the question using the attached figure.
From the attached figure, the radius is 3 unit and the central angle is 120 degrees
The area of a sector is calculated as thus;
Where represents the central angle and r represents the radius
By substituting and r = 3
becomes
square units
Solving further to leave answer as a decimal; we have to substitute 3.14 for
So, becomes
square units
Hence, the area of the sector in the attached figure is or 9.42 square units
