Answer:
((160/3)π + 16√3) in²
Step-by-step explanation:
Together with the radii of 8 inches, the 8-inch chord creates an equilateral triangle with a central angle of 60°, or π/3 radians.
In problem 1, you found the area of the smaller segment to be ...
A = (1/2)r²·(θ -sin(θ))
For θ = π/3 and r = 8 in, this is (1/2)(8 in)²(π/3 -(√3)/2) = ((32/3)π -16√3) in².
The remaining segment of the circle is the area of the circle less this amount, so is ...
π·(8 in)² -(32/3π -16√3) in² = (160/3π +16√3) in² . . . . larger segment area
Answer:
720 infected
Step-by-step explanation:
The answer for 3(x-2)=x+4 would x=5
Answer:
a.)x² + y² = 900
b.)y = √900 - x²
Step-by-step explanation:
P.S - The exact equation is as follows :
As given,
The shape of the roller coaster is a half of a circle. Center the circle at the origin and assume the highest point on this leg of the roller coaster is 30 feet above the ground.
a.)
Equation of circle be x² + y² = r²
As given , leg of the roller coaster is 30 feet above the ground.
⇒ r = 30
⇒x² + y² = 30²
⇒x² + y² = 900
∴ we get
Equation of height of Roller coaster - x² + y² = 900
b.)
As we have, x² + y² = 900
⇒y² = 900 - x²
⇒y = √900 - x²