A circle has a circumference of \blue{6}6start color #6495ed, 6, end color #6495ed. It has an arc of length \dfrac{17}{3}
1 answer:
Answer:
The central angle of the arc is 340°
Step-by-step explanation:
The formula for calculating the area of an arc = theta/360° × 2πr
Note that circumference of the circle = 2πr
The area of an arc = theta/360° × circumference of the circle
Given length of the arc = 17/3
Circumference of the circle = 2πr = 6
On substitution;
17/3 = theta/360 × 6
17/3 = theta/60
Cross multiplying;
3theta = 17×60
theta = 17×60/3
theta = 17×20
theta = 340°
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