So the key thing here is to notice that we are given the circumference which will allow us to find a value for the radius of the circle and hence the angle subtended by the arc (the central angle).

So the circumference of a circle = 2pi(r)

This means:

6 = 2pi(r)

Which means that

r = 6/2pi or r = 3/pi

Now we can use this value of r to find our angle in conjunction with the value of the arc length. So:

Arc length is defined by: length = θr

Where θ is our angle value.

So lets plug in:

$\frac{17}{3} = (angle)\frac{3}{\pi }$

Multiply by pi to get:

$\frac{17\pi }{3} = 3(angle)$

Divide by 3 to get that:

θ = 17pi/9

So if we convert that from radians to degrees we get 340 degrees.

7 0

3 years ago

Marcus is making cookies. The recipe says 214 cups of flour are needed for each batch. Marcus wants to make 3 batches of cookies

Valentin [98]

Answer:

642 Cups of Flower

214 × 3 = 642

8 0

3 years ago

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