smallest triangle 5.7/11,
medium triangle 11/x
5.7/11=11/x
x=11*11/5.7≈21.2 (longer leg of the medium triangle)
difference between 6 and 5.7 is 6-5.7=0.3 ,
screen going to be 0.3 feet less, than leg of the medium triangle that was found
21.2-0.3=20.9 ft
Answer:
Area = 120
Step-by-step explanation:
Area = 1/2 bh
Area = 1/2 (10)(24)
Area = 1/2 (240)
Area = 120
The area of the right triangle is 120
21/30 simplifies to 2.1/3 so it's a little bit bigger
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
