JJ J.

asked • 04/16/21

What is RS? Round to the nearest tenth.

What is RS? Round to the nearest tenth.


A circle with radius Q and point P outside the circle is given. A tangent is drawn from point P to point Q. A secant is drawn from point P to point S on the circumference passing through point R to cut a chord RS on the circle. The length of PR is 7 and that of PQ is 11. The angle between the radius and the tangent PQ is indicated as right angle.


1 Expert Answer

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Jon S. answered • 04/17/21

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When tangent and secant from external point intersect circle, the product the length of secant segment and the length of the secant segment external to the circle equals the square of the length of the tangent segment

in other words:


PQ**2 = RS * PR

11**2 = PS * 7

121 = PS*7

PS = 17.29


RS = PS - PR = 17.29 - 7 = 10.29

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