3 and 3 eights is smaller
Answer:
192.5 ft²
Step-by-step explanation:
Area of the shaded region (A) = Area of the major sector + Area of the triangle.
A = (πr²θ/360)+(r²sinα)/2............. Equation 1
From the diagram,
Given: r = 8.35 ft, α = 100°, θ = 360-100 = 260°
Substitute these values into equation 1
A = (3.14×8.35²×260/360)+(8.35²×sin100×1/2)
A = 158.16+34.33
A = 192.49 ft²
A = 192.5 ft²
Hence the area of the shaded region = 192.5 ft²
Check the picture below, those red ones
internal tangents are the ones touching both circles and in between
In this question, you are given the plane 1 speed(496miles/h), plane1 depart time(8:00), plane 2 speed(558miles/h) and plane2 depart time(8:30 or 8.5 hour). Both of the planes left from the same airport so their traveling distance should be same. They also arrive in same time. Then the equation would be:
duration = arriving time - depart time
duration1= x= arriving time - 8h
duration2= y= arriving time -8.5h= (arriving time - 8h) -0.5h= x-0.5h
speed1 * duration1 = speed2 * duration2
496 * x = 558* (x-0.5)
496x = 558x - 279
279= 558x- 496x
279= 62x
x= 4.5hour
