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Liono4ka [1.6K]
4 years ago
13

If HJR is 9/10 π, what is RHJ?

Mathematics
1 answer:
Hitman42 [59]4 years ago
6 0

Answer:

<h2>A.</h2>

Step-by-step explanation:

We know that the whole length of the circumference is 2 \pi.

By given, we have HJR=\frac{9}{10} \pi, and HJ=81\° by definition of central angle.

That means

HJR=HJ+RJ\\\frac{9}{10} \pi = 81\° +RJ\\ 162\°-81\°=RJ\\RJ=81\°

Also,

RHJ=360\° - RJ=360\° - 81\° =279\°

Therefore, the measure of the arc RHJ is 279° which is equivalen to choice A.

\frac{31}{20}\pi = \frac{31}{20} \times 180\° = 279\°

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