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<em><u>Question:</u></em>
In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 2π/7 radians.
What is the arc length?
Use 3.14 for π and round your final answer to the nearest hundredth.
Enter your answer as a decimal in the box.
<em><u>Answer:</u></em>
<h3>Arc length is 11.30 feet</h3><em><u>Solution:</u></em>
Given that,
Radius of circle = 12.6 feet
Central angle = radians
To find: Arc length
<em><u>The arc length of a circle of radius "r" when central angle given in radians is:</u></em>
Where,
s is the arc length
r is the radius
is the central angle in radians
<em><u>Substituting the values we get,</u></em>
Thus, arc length is 11.30 feet
Answer:
d = 0.666t , where d is in miles and t is in minutes.
d = 39.94h, where d is in miles and h is in hours.
Step-by-step explanation:
A car travels miles in
minutes at a constant speed.
Let the relation between the distance (d) traveled by car in miles after traveling t minutes is d = kt ......... (1)
Now, putting d = 2.33 miles and t = 3.5 minutes in the above equation we get,
2.33 = 3.5k
⇒ k = 0.666 (Approx.)
So, the equation (1) becomes d = 0.666t. (Answer)
Let us assume that the relation between the distance (D) traveled by car in miles after traveling h hours is d = Kh ............ (2)
Now, putting D = 2.33 miles and T = 3.5/60 = 0.058 hours in the above equation, we get
2.33 = 0.058K
⇒ K = 39.94
So, the equation (2) we get, d = 39.94h (Answer)