Which symbol will make the number sentence true?
2 answers:
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<u>Given</u>:
The diameter of the circle P is 30 cm.
The radius of the circle P is 15 cm.
The measure of ∠RPS is 125°
We need to determine the arc length of QR.
<u>Measure of ∠QPR:</u>
The angles QPR and RPS are linear pairs.
Thus, we have;
Substituting the values, we have;
Thus, the measure of ∠QPR is 55°
<u>Arc length of QR:</u>
The arc length of QR can be determined using the formula,
Substituting and r =15, we get;
Thus, the arc length of QR is 14.4 cm.
Hence, Option d is the correct answer.