Find the length of arc abc. express answer in terms

Ответ:

anne010p4bffk

12.03.2022

$27\pi$

Step-by-step explanation:

In the given figure we have given a circle in with radius PC = 18 inches

Also, the central angle made by arc AC $90^{\circ}$ or $\dfrac{\pi}{2}$

Since the sum of angles at a point is $2\pi$

Then , the central angle made by arc AC :-

$\theta=2\pi-\dfrac{\pi}{2}=\dfrac{3\pi}{2}$

The formula to find the arc length is given by :-

$l=r\theta$

Then the length of arc ABC will be :-

$l=(18)(\dfrac{3\pi}{2})=27\pi$

Hence, the length of arc ABC = $27\pi$

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