Answer:
The area of this sector is 224*pi cm² or approximately 703.72 cm²
Step-by-step explanation:
In order to calculate the area of a sector for which we have an angle in radians, we need to apply a rule of three in such a way that pi*r² is related to 2*pi radians in the same proportion as the given angle is related to the area of the sector we want to find. This is shown below:
2*pi rad -> pi*r² unit²
angle rad -> sector area unit²
2*pi / angle = pi*r² / (sector area)
2*pi*(sector area) = pi*r²*angle
sector area = [pi*r²*angle]/2*pi
sector area = r²*angle/2 unit²
Applying the data from the problem, we have:
sector area = [(16)²*(7*pi/4)]/2 = [256*(7*pi/4)]/2 = 64*7*pi/2 = 32*7*pi = 224*pi
sector area = 224*pi cm²
sector area = 703.72 cm²
9514 1404 393
Answer:
7.3 in
Step-by-step explanation:
The sum of the lengths of the sides shown is 100.2 in, so the missing length is ...
107.5 -100.2 = 7.3 . . . inches
Step-by-step explanation:
take the base square. find the diagonal
16^2+16^2 = 2*16^2= d^2
d= 16√2
half of the diagonal will form the baSe of right triangle of hypotenuse 10. but the base will be 8√2 which is greater than 10. so I feel the slant hr has to be different and more than 10
Answer:
10540.3888889
Step-by-step explanation:
May I have brainliest please? :)
A) How high up the wall does it reach?
Use the Pythagorean theorem
Height^2 + Base^2 = Hyp^2
H^2+ 2^2 = 4^2 Subtract the 2^2 from both sides
H^2 = 4^2 -2^2 Multiply the square roots of both the numbers
H^2= 16 - 4
H^2 = 12
H= sqrt(12) m
Hope this helps