The circle below has center O, and its radius is 4 ft. Given that m ZAOB=50°find the length of the minor arc AB.
1 answer:
Answer:
The length of minor arc AB is π ft
Step-by-step explanation:
The formula of the length of an arc in a circle is L = × 2πr, where α is the central angle subtended by the arc, and r is the radius of the circle
∵ The radius of the circle is 4 ft
∴ r = 4
∵ ∠AOB is a central angle subtended by minor arc AB
∵ m∠AOB = 50°
∴ α = 50°
Substitute the values of r and α in the rule above
∵ L = × 2π(4)
∴ L = π
∴ The length of minor arc AB is π ft
You might be interested in
Answer:
1. y = sin(x²+C)
2. see below
Step-by-step explanation:
1.
separation of variables
integration both sides
you should get :
remember constant of integration!!
2. y = sin(x²+C)
3 = sin(0+C)
y(0) = 3 does not have a solution because our sin graph is not shifted vertically or multiplied by a factor whose absolute value is greater than 1, so our range is [-1,1] and 3 is not part of this range