Respuesta :
Answer:
Given: The radius of circle C is 6 units and the measure of central angle ACB is StartFraction pi Over 2 EndFraction radians.
What is the approximate area of the entire circle?
113 square units
What is the approximate area of the entire sector created by central angle ACB?
28 square units
What is the approximate area of the shaded region only?
22 square units
The area of the circle is 113.14 square units, and the area of the sector is 28.27 square units
The radius of the circle is given as:
r = 6 units
So, the area of the circle is:
[tex]Area = \pi r^2[/tex]
This gives
[tex]Area = \frac{22}{7} * 6^2[/tex]
Evaluate
[tex]Area = 113.14[/tex]
The area of the sector is calculated as:
[tex]Area = (\theta/2) * r^2[/tex]
So, we have:
[tex]Area = ((\pi/2)/2) * 6^2[/tex]
Simplify
[tex]Area = ((\pi/4) * 6^2[/tex]
Evaluate
[tex]Area = 28.27[/tex]
Hence, the area of the circle is 113.14 square units, and the area of the sector is 28.27 square units
Read more about areas at:
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