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2 years ago

13

Use the formula for radian measure to calculate the measure of a central angle in a circle having a radius of 12 cm and intercep

ting an arc of 21 cm. theta = startfraction s over r endfraction the angle has a measure of radians.

1 answer:

ra1l [238]2 years ago

6 0

The central angle has a measure of radians calculated by the formula for radian measure is 1.75 radians.

<h3>What is the formula for radian measure?</h3>

The formula for radian measure to calculate the central angle is given as,

$\theta=\dfrac{s}{r}$

Here, (r) is the radius of the circle and (θ) is the central angle.

In a circle having a radius of 12 cm and intercepting an arc of 21 cm. Put the value of radius and the length of the arc in the above formula as,

$\theta=\dfrac{21}{12}\\\theta=1.75$

Thus, the central angle has a measure of radians calculated by the formula for radian measure is 1.75 radians.

Learn more about the radian measure formula here;

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