Answer:
he gained 2,100
Step-by-step explanation:
Answer:
A. 1.609344 km
B. 0.62137119 m
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1. You must apply the formula for calculate the arc length, which is:
arc length=(angle)(radius)
2- As you can see, <span>the circle has a radius of 5 yards and the angle subtended by the arc measures 1 1/2 radians. Therefore, you have:
</span>
The angle is:
1 1/2 radians=1.5 radians
3. When you susbtitute these values into the formula, you obtain:
arc length=(1.5 radians)(5 yards)
arc lenght=7.5 yards
4. Therefore, the answer is: 7.5 yards.
To get the radius we proceed as follows:
area=θ/360πr²
area=40 sq. units
θ=110°
thus the value of r will be:
40=110/360πr²
r²=40(110/360*π)
r²=41.66966
r=6.4552