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The circumference of Circle C is 1447.MAB1200СWhat is the length of AB?87167487967

The circumference of Circle C is 1447.MAB1200СWhat is the length of AB?87167487967-example-1
The circumference of Circle C is 1447.MAB1200СWhat is the length of AB?87167487967-example-1
The circumference of Circle C is 1447.MAB1200СWhat is the length of AB?87167487967-example-2

1 Answer

5 votes

The Solution.

First, we shall find the radius,r, of the given circle by using the formula below:


\begin{gathered} C=2\pi r \\ C=144\pi,r=? \end{gathered}

Substituting these values in the formula above, we get


144\pi=2\pi r

Dividing both sides by 2 pi, we get


r=(144\pi)/(2\pi)=72

Now, to find the length of arc AB, we shall use the formula below:


L=(\theta)/(360)*2\pi r

In this case,


\theta=120,r=72,L=?

Substituting these values in the formula above, we have


\begin{gathered} L=(120)/(360)*2*\pi*72 \\ \\ L=(1)/(3)*2*\pi*72=2*\pi*24=48\pi \end{gathered}

Hence, the correct answer is option 3.

User Raj Hassani
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