Question

in circle q with m∠psr = 24°, find the measure of minor arc pr. m pr =

Explanation:

Step1: Recall inscribed arc theorem

The measure of an inscribed angle is half the measure of its intercepted arc. So $m\angle PSR = \frac{1}{2}m\overset{\frown}{PR}$.

Step2: Solve for $m\overset{\frown}{PR}$

Rearrange the formula: $m\overset{\frown}{PR} = 2 \times m\angle PSR$
Substitute $m\angle PSR = 24^\circ$:
$m\overset{\frown}{PR} = 2 \times 24^\circ$

Answer:

$48^\circ$