Question

Use the formula for radian measure to calculate the measure of a central angle in a circle having a radius of 12 cm and intercepting an arc of 21 cm. theta = startfraction s over r endfraction the angle has a measure of radians.

Answer 1

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

What is the formula for radian measure?

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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