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IgorLugansk [536]
2 years ago
15

Find the length of arc ABC. Express answer in terms of pi. PC=18in

Mathematics
2 answers:
lara31 [8.8K]2 years ago
7 0

Answer: 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

Lapatulllka [165]2 years ago
3 0

The formula would be 2 * pi * (central angle)/360

Hence, 2 * 22/7 * 270/360 => 84.823 in.

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