Extra Example 2 Find the measure of each arc. 35 a. SQ b. RPQ c. PRS R.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section: Chapter Questions
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**Extra Example 2**

**Problem:** Find the measure of each arc.

The diagram is a circle with center \( O \) and points \( P, Q, R, \) and \( S \) on the circumference. The lines \( OP \), \( OQ \), \( OR \), and \( OS \) are radii of the circle, thereby connecting the center \( O \) to these points on the circle.

There is a right angle marked at \( O \) between \( OP \) and \( OQ \), indicating a 90° angle. There is also an angle of 35° marked at \( S \), formed between radian \( OS \) and \( OR \).

**a. Arc \( \overset{\frown}{SQ} \)**

**b. Arc \( \overset{\frown}{RPQ} \)**

**c. Arc \( \overset{\frown}{PRS} \)**

**Diagram Explanation:**

- The circle is centered at point \( O \).
- \( \angle POQ \) is marked as a right angle (90°).
- \( \angle SOR \) is marked as 35°.
- The arcs to be measured are labeled as part of the circle between specified points.
Transcribed Image Text:**Extra Example 2** **Problem:** Find the measure of each arc. The diagram is a circle with center \( O \) and points \( P, Q, R, \) and \( S \) on the circumference. The lines \( OP \), \( OQ \), \( OR \), and \( OS \) are radii of the circle, thereby connecting the center \( O \) to these points on the circle. There is a right angle marked at \( O \) between \( OP \) and \( OQ \), indicating a 90° angle. There is also an angle of 35° marked at \( S \), formed between radian \( OS \) and \( OR \). **a. Arc \( \overset{\frown}{SQ} \)** **b. Arc \( \overset{\frown}{RPQ} \)** **c. Arc \( \overset{\frown}{PRS} \)** **Diagram Explanation:** - The circle is centered at point \( O \). - \( \angle POQ \) is marked as a right angle (90°). - \( \angle SOR \) is marked as 35°. - The arcs to be measured are labeled as part of the circle between specified points.
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