In circle P diameter QS measures 30 cm.

What is the approximate length of arc QR? Round to the nearest tenth of a centimeter

a. 7.2 cm
b. 25.8 cm
c. 94.2 cm
d. 14.4 cm

PLEASE HURRY :)

Given:

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.

Measure of ∠QPR:

The angles QPR and RPS are linear pairs.

Thus, we have;

Substituting the values, we have;

Thus, the measure of ∠QPR is 55°

Arc length of QR:

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.

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