For this case we use the following formula
Area of Sector = Area * radians of sector / 2 * pi radians
Where,
Area: it is the area of the complete circle.
We have then:
Area = pi * r ^ 2
Area = pi * (6) ^ 2
Area = 36pi
Substituting values:
5pi = 36pi * radians of sector / 2 * pi
Clearing:
radians of sector = ((5pi) * (2pi)) / (36pi)
radians of sector = (10pi ^ 2) / (36pi)
radians of sector = (10pi) / (36)
radians of sector = (10/36) pi
radians of sector = (5/18) pi
in degrees:
(5/18) pi * (180 / pi) = 50 degrees
Answer:
The measure of the central angle is:
50 degrees
Area of shaded region is 18π square unit.
<u>Step-by-step explanation:</u>
Given :- A circle with center O and radius 9 cm
To Find :- area of shaded region that is area of ABC
Solution : - BC = 9 cm
∠ABC = 80° = Ф
so, area of sector = πr²Ф / 360°
= (π×9×9×80) /360°
= 18π square unit
hence, area of shaded region is 18π square unit
It is a false statement that the <span>bisector of a straight angle forms two acute angles. The correct option among the two options that are given in the question is the second option or the last option. I hope that this is the answer that you were looking for and and it has actually come to your desired help.</span>
Answer:
Step-by-step explanation:
Distributive property: a(b + c) = a*b +a*c
