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Eddi Din [679]
2 years ago
5

What is the measure in radians for the central angle of a circle whose radius is 9 cm and intercepted arc length is 7.2 cm? Ente

r your answer as a decimal in the box.
Mathematics
2 answers:
DaniilM [7]2 years ago
8 0

Answer:

0.8

Step-by-step explanation:

Novosadov [1.4K]2 years ago
8 0

Answer:

Length of an arc is given by:

l = r \theta          ......[1]

where,

r is the radius of the circle

\theta is the angle in radian.

As per the statement:

A circle has a radius of 9 cm.

⇒r =9 cm

It is also given that: intercepted arc length is 7.2 cm

Substitute the given values in [1] we have;

7.2 = 9 \cdot \theta

Divide both sides by 9 we get;

0.8 = \theta

Therefore, the measure in radians for the central angle is, 0.8

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