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FromTheMoon [43]
3 years ago
11

Find the radian measure of the central angle

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
6 0

The radian measure of central angle is 0.8 radians

<em><u>Solution:</u></em>

Given that we have to find the radian measure of central angle

From given figure in question,

Arc length = 60 units

Radius = 75 units

\theta = ?

<em><u>The radian measure of a central angle θ of a circle is given as:</u></em>

s = r \times \theta\\\\\theta = \frac{s}{r}

Where,

"r" is the radius of circle

"s" is the length of arc

\theta = central angle in radians

<em><u>Substituting the known values,</u></em>

\theta = \frac{60}{75} = 0.8

Thus radian measure of central angle is 0.8 radians

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